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Linear stability analysis of systems with Preisach memory | We consider differential equations coupled with the input-output memory relation defined by the Preisach operator. ::: The differential equation relates an instant value of the rate of change of the output of the Preisach operator ::: with an instant value of its input. We propose an algorithm for the linearisation of ... | We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find a stationary solution of Lindblad master equation. Furthermore, for a specific m... | eng_Latn | 11,000 |
Inference of Schr\"odinger's Equation from Classical-Mechanical Solution | We set up the classical wave equation for a particle formed of an oscillatory zero-rest-mass charge together with its resulting electromagnetic waves, traveling in a potential field $V$ in a susceptible vacuum. The waves are Doppler-displaced upon the source motion, and superpose into a total, traveling- and in turn a ... | Motivated by a recently proposed local refinement strategy for immersed interface problems, in this work we aim at dealing with the behavior of mixed finite elements for the Stokes problem in (strongly) anisotropic mesh situations, leading to severely distorted elements. In fact, the majority of the theoretical results... | eng_Latn | 11,001 |
Stochastic evaluation of supply chains and replenishment policies with Petri net components | The outbound logistics deals with the transportation and storage of finished goods. It is one of the most complex and expensive activity of the supply chain management and is decisive for the Quality of Service (QoS). This paper proposes the use of pre-defined Petri net components to model and evaluate this activity. T... | O. Introduction This lecture will unfortunately not be a systematic review of the subject of rigorous results in non-equilibrium statistical mechanics. A preliminary attempt to outline such a review led me quickly to the conclusion that the field is too diverse to be summarized in a single lecture. I have therefore dec... | eng_Latn | 11,002 |
Selected Works Dynamical Theory And Quantum And Classical Statistical Mechanics | Thank you very much for reading selected works dynamical theory and quantum and classical statistical mechanics. As you may know, people have search numerous times for their chosen books like this selected works dynamical theory and quantum and classical statistical mechanics, but end up in harmful downloads. Rather th... | This chapter contains sections titled: Introduction Identification of the Best Linear Approximation Using Random Excitations Generation of Uncertainty Bounds? Identification of the Best Linear Approximation Using Periodic Excitations Advises and Conclusions ]]> | yue_Hant | 11,003 |
Possibility of restoring chiral symmetry in quantum chromodynamics | The effective potential is found for scalar and pseudoscalar fields, both in the low-energy domain and in the domain of asymptotic freedom. Using the properties of this potential the mechanism of restoration of chiral symmetry is given as well as a description of the formation of a quark-gluon “bubble” with finite radi... | A new class of high order, implicit, three time step schemes for semi-discretized wave equations is introduced and studied. These schemes are constructed using the modified equation approach, generalizing the @q-scheme. Their stability properties are investigated via an energy analysis, which enables us to design super... | eng_Latn | 11,004 |
Solitons supported by spatially inhomogeneous nonlinear losses. | We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate η (in one dimension) faster than |η|. The spatially-inhomogeneous absorption also supports new types of solitons, that do... | Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a stochastic equation whose statistics agree with the measured ones. On the other h... | eng_Latn | 11,005 |
Cohomology and deformations for the Heisenberg Hom-Lie algebras | ABSTRACTIn this work, we consider the Heisenberg Lie algebra with all its Hom-Lie structures. We completely characterize the cohomology and deformations of any order of all Heisenberg Hom-Lie algeb... | We show how to extend the formalism of infinitesimal differential diffusion quantum Monte Carlo to the case of higher derivatives of the ground‐state energy of a molecule with respect to the molecular geometry. We use LiH as an example, but the technique can be extended to more complicated, nonliner molecules as well. ... | eng_Latn | 11,006 |
On the Nonlinear Effects in Focused Ultrasound Beams with Frequency Power Law Attenuation | When finite amplitude ultrasound propagation is considered, changes in spatial features of focused ultrasound beams can be observed. These nonlinear effects typically appear in thermoviscous fluids as focal displacements, beam-width variations or gain changes. However, in soft-tissue media, the frequency dependence of ... | Abstract In this paper, we study the long-time behavior of solutions for a non-autonomous strongly damped wave equation. We first prove the existence of a uniform attractor for the equation with a translation compact driving force and then obtain an upper estimate for the Kolmogorov e -entropy of the uniform attractor.... | eng_Latn | 11,007 |
Vortex lattices in Bose-Einstein condensates with dipolar interactions beyond the weak-interaction limit | We study the ground states of rotating atomic Bose-Einstein condensates with dipolar interactions. We present the results of numerical studies on a periodic geometry which show vortex lattice ground states of various symmetries: triangular and square vortex lattices, ``stripe crystal,'' and ``bubble crystal.'' We prese... | Abstract We discuss random matrix-model representations of D = 1 string theory, with particular emphasis on the case in which the target space is a circle of finite radius. The duality properties of discretized strings are analyzed and shown to depend on the dynamics of vortices. In the representation in terms of a con... | eng_Latn | 11,008 |
Scaling of energy spreading in a disordered Ding-Dong lattice | We study numerically propagation of energy in a one dimensional Ding-Ding lattice, composed of linear oscillators with ellastic collisions. Wave propagation is suppressed by breaking translational symmetry, we consider three way to do this: a position disorder, a mass disorder, and a dimer lattice with alternating dist... | We investigate the OLS-based estimator s2 of the disturbance variance in the standard linear regression model with cross section data when the disturbances are homoskedastic, but spatially correlated. For the most popular model of spatially autoregressive disturbances, we show that s2 can be severely biased in finite s... | eng_Latn | 11,009 |
Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain | The novel stable “soliton islands” in a “sea of solitary waves” of the nonlinear Schrodinger equation model with varying dispersion, nonlinearity, and gain or absorption are discovered. Different soliton management regimes are predicted. | Compact differencing can deliver high-order accuracy using only a limited span of stencils, but incurring a costly matrix in version. Hence, use of a stable implicit time discretizaton becomes favorable in order to offset the computation cost by allowing a large time step. A practical way to reduce the burden of invert... | eng_Latn | 11,010 |
Effect of Timing Jitter on Sigma Delta ADC for SDR Mobile Receiver | Jitter is the limiting effect for high speed analog-to-digital converters with high resolution and wide digitization bandwidth, which are required in receivers in order to support high data rates. The rapid development of digital wireless system has led to a need of high resolution and high speed analog to digital conv... | We demonstrate the workability of a TDDVR based [J. Chem. Phys. 118, 5302 (2003)], novel quantum-classical approach, for simulating scattering processes on a quasi-Jahn–Teller model [J. Chem. Phys. 105, 9141 (1996)] surface. The formulation introduces a set of DVR grid points defined by the Hermite part of the basis se... | eng_Latn | 11,011 |
A sufficient condition for the Hamiltonian evolution | We give a sufficient condition for the time evolution of a finite quantum system to be a Hamiltonian one. We use the semigroup formalism recently developed by Kossakowski, Gorini, Sudarshan et al. | The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global ... | eng_Latn | 11,012 |
Dynamics of multifrequency oscillator communities | We consider a generalization of the Kuramoto model of coupled oscillators to the situation where communities of oscillators having essentially different natural frequencies interact. General equations describing possible resonances between the communities' frequencies are derived. The simplest situation of three resona... | An asymptotic solution of the frequency equation of an infinite, monoclinic crystal plate is derived. Formulas are given which describe the variation of frequency with wavelength at high frequencies and long wavelengths. | eng_Latn | 11,013 |
Kelvin-Helmholtz instability of AB interface in superfluid 3He | The Kelvin-Helmholtz instability is well-known in classical hydrodynamics, where it explains the sudden emergence of interfacial surface waves as a function of the velocity of flow parallel to the interface. It can be carried over to the inviscid two-fluid dynamics of superfluids, to study different types of interfaces... | A computational modification of the Heidemann-Khalil method for calculating the critical temperatures and pressures for general phase-equilibrium problems greatly reduced the computing time for simple two-constant cubic equations of state. For systems where the unlike binary interaction parameters can be derived from t... | eng_Latn | 11,014 |
Several recent results in nonlinear geometric optics | Many recent works are devoted to the study of high frequency oscillatory nonlinear waves, and to nonlinear geometric optics. Typical questions are the existence, the propagation, the interaction and the reflection of waves of the form ::: ::: $$ {u^\varepsilon }\left( {t,x} \right) \sim \underline u \left( {t,x} \right... | 4 pages.-- PACS numbers: 05.45.Xt, 87.10.+e.-- ArXiv pre-print: http://arxiv.org/abs/nlin.CD/0512009.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.73.055202. | eng_Latn | 11,015 |
LDA-Investigations of the Separated Flow over Slender Wings | The flowfield over inclined slender delta wings has been investigated using a 3D-Laser-Doppler Anemometer. Preliminary tests led to the result that a sufficient distribution of scattering particles in the whole vortex flowfield can be achieved by a proper combination of particle diameter and free stream Reynoldsnumber.... | We show how to extend the formalism of infinitesimal differential diffusion quantum Monte Carlo to the case of higher derivatives of the ground‐state energy of a molecule with respect to the molecular geometry. We use LiH as an example, but the technique can be extended to more complicated, nonliner molecules as well. ... | eng_Latn | 11,016 |
Hot tube semiconductor thermal electric refrigerator | The utility model provides a hot tube semiconductor thermal electric refrigerator with a hot tube as the main heat transferring component, and is mainly characterized in that the utility model is assembled by a plurality of hot tubes whose one end is equipped with a fin tail and metal blocks with excellent heat-conduct... | Preface Bose-Einstein Condensation in Nonlinear System New Aspects of Relaxation Processes in Cryogenic Solids Induction Transformer Coupled Discharges: Investigation & Application P-Type InGaAs/AlGaAs Quantum Well Structures for Infrared Photodetection A D-3He Spherical Tokamak Reactor with the Plasma Current Ramp-Up ... | eng_Latn | 11,017 |
An Expected Utility-Based Optimization of Slow Steaming in Sulphur Emission Control Areas by Applying Big Data Analytics | This paper analyses the operator’s risk-based decision (RBD) company for slow steaming, and creates a sailing speed optimization model for slow steaming (SSOM-SS), aiming to balance the expected utility-based objectives (EUO) of fuel consumption, SOx emissions and delivery delay. Considering the limitations of existing... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,018 |
On the stochastic nonlinear neutron transport equation | The probability that a neutron leads to a divergent chain reaction in a nuclear reactor is governed by a nonlinear integro-partial-differential equation [ 1 ]. A model case of this equation was completely analysed by Pazy and Rabinowitz [ 2,3 ]. The purpose of this paper is to extend their results to the general case a... | O. Introduction This lecture will unfortunately not be a systematic review of the subject of rigorous results in non-equilibrium statistical mechanics. A preliminary attempt to outline such a review led me quickly to the conclusion that the field is too diverse to be summarized in a single lecture. I have therefore dec... | eng_Latn | 11,019 |
Reply to ''Comments on alternate formulations for preequilibrium decay'' | Blann's criticisms of the exciton model formulation are found to originate mainly in misunderstandings. An attempt is made to support the contention that the exciton model uses a correct quantum statistical approach to the problem of preequilibrium decay. | We present and analyze different splitting algorithms for numerical ::: solution of the both classical and generalized nonlinear Schrodinger ::: equations describing propagation of wave packets with ::: special emphasis on applications to nonlinear fiber-optics. ::: The considered generalizations take into account ::: ... | eng_Latn | 11,020 |
Loads induced by terminal-shock boundary-layer interaction on cone-cylinder bodies | An analysis is described that can define the loads induced by shock-induced separation at high subsonic speeds. The supersonic flow region aft of the cone-cylinder shoulder is terminated by a normal shock that causes the boundary layer to separate. At increasing angle-ofattack the leeward side boundary layer is thicken... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,021 |
Designing Langevin microdynamics in macrocosm | Previously developed ``stochastic representation of deterministic interactions`` enables exact treatment of an open system without leaving its native phase space (Hilbert space) due to peculiar stochastic extension of the Liouville (von Neumann) equation for its statistical operator. Can one reformulate the theory in t... | Using the divergence term appearing in the Lagrangian of the teleparallel equivalent of general relativity (TEGR), we calculate the thermodynamic quantities of four tetrads’ spacetime reproducing Lense–Thirring (LT) metric. We also investigate the first law of thermodynamics and the quantum statistical relation. | eng_Latn | 11,022 |
Quantum theory of phase correlations in optical frequency combs generated by stimulated Raman scattering | We explore theoretically the phase correlation between multiple generated sidebands in a Raman optical frequency comb under conditions of spontaneous initiation from quantum zero-point noise. We show that there is a near-deterministic correlation between sideband phases in each laser shot which may lead to synthesis of... | Abstract The two-dimensional Radon transform of the Wigner quasiprobability is introduced in canonical form and the functions playing a role in its inversion are discussed. The transformation properties of this Radon transform with respect to displacement and squeezing of states are studied and it is shown that the lat... | eng_Latn | 11,023 |
VORTEX FORMATION IN DILUTE INHOMOGENEOUS BOSE-EINSTEIN CONDENSATES | A valve regulates the pressure of secondary air discharged from a pump to a constant value. A second valve then meters the flow in accordance with the amount of air taken into the engine. | This paper is concerned with the Free boundary problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. A local (in time) existence result is established when the initial density is of compact support and connects to the vacuum continuously. (C) 2002 Elsevier Science (USA). | yue_Hant | 11,024 |
On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane | Here we propose the nonlocal normal form of main symbol of linear second order mixed type PDEs on the plane for Cibrario-Tricomi case with periodic coefficients. In particular that provides the normal form for equation, which describes an infinitesimal bending of typical rotation surface or sufficiently close to the on... | Previously developed ``stochastic representation of deterministic interactions`` enables exact treatment of an open system without leaving its native phase space (Hilbert space) due to peculiar stochastic extension of the Liouville (von Neumann) equation for its statistical operator. Can one reformulate the theory in t... | eng_Latn | 11,025 |
Stability of standing waves for a nonlinear Schrödinger equation under an external magnetic field | In this paper we study the existence and orbital stability of ground states for logarithmic Schrodinger equation under a constant magnetic field. For this purpose we establish the well-posedness of the Cauchy Problem in a magnetic Sobolev space and an appropriate Orlicz space. Then we show the existence of ground state... | The matrix formalism previously introduced for the discussion of polymer dynamics is rendered more tractable by the introduction of an explicit operator representation satisfying boson commutation rules. Techniques are devised by which singular functions of segment coordinates may be expanded in a fluctuation series (c... | eng_Latn | 11,026 |
Combinations of Independent Normal Random Variables | Summary ::: ::: There are several well known approaches to proving that a linear combination of a pair of independent random variables is itself normal. Here the author offers a simple proof, based on analytical geometry, which can be used early in a statistics course. | The Moyal *-deformed noncommutative version of Burgers' equation is considered. Using the *-analog of the Cole-Hopf transformation, the linearization of the model in terms of the linear heat equation is found. Noncommutative q-deformations of shock soliton solutions and their interaction are described | eng_Latn | 11,027 |
The air disc brake in commercial vehicles - field experiences | The air disc brake is established as standard equipment for heavy commercial vehicles in Europe. The utilisation spectrum, applications, design, function, field monitoring, and further technical developments are described. For the covering abstract see ITRD E136300 | We find a general formula for the distribution of time averaged observables for weakly non-ergodic systems. Such type of ergodicity breaking is known to describe certain systems which exhibit anomalous fluctuations, e.g. blinking quantum dots and the sub-diffusive continuous time random walk model. When the fluctuation... | eng_Latn | 11,028 |
Effect of a novel nonlinearity, viz., electron temperature dependence of electron-ion recombination on electromagnetic wave. Plasma interaction: Nonlinear propagation in the E-layer | In this paper, we consider the nonlinearity in the propagation of electromagnetic (e.m.) waves in a plasma caused by the electron temperature dependence of the coefficient of recombination of electrons with ions; specifically, the ionospheric E layer has been investigated. The enhancement in electron temperature by an ... | We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which is local in time. These two descriptions are complementary: if one is simple th... | eng_Latn | 11,029 |
Quantum Monte Carlo study of a 1D phase-fluctuating condensate | We study numerically the low temperature behaviour of a 1D Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density fluctuations are negligible but phase fluctuations are considerable, i.e., a quasicondensate. In t... | ABSTRACTThis paper aims to develop, assess, and numerically implement analytical models for the newly introduced Quintuple Friction Pendulum Isolator (QFPI) which can identically capture its real e... | eng_Latn | 11,030 |
Low lying spectrum of weak-disorder quantum waveguides | We study the low-lying spectrum of the Dirichlet Laplace operator on a randomly wiggled strip. More precisely, our results are formulated in terms of the eigenvalues of finite segment approximations of the infinite waveguide. Under appropriate weak-disorder assumptions we obtain deterministic and probabilistic bounds o... | Abstract A self-consistent quasilinear model of the interaction between VLF emissions and geomagnetic pulsation is set forth. As a result an explicit expression of a modulation frequency dependence can be obtained. | eng_Latn | 11,031 |
Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space | We show that a Hamiltonian with Weyl points can be realized for ultracold atoms using laser-assisted ::: tunneling in three-dimensional optical lattices. Weyl points are synthetic magnetic monopoles that exhibit a ::: robust, three-dimensional linear dispersion, identical to the energy-momentum relation for relativisti... | We deal with linear parabolic (in the sense ::: of Petrovskii) systems of order $2b$ with discontinuous principal ::: coefficients. A priori estimates in Sobolev and ::: Sobolev--Morrey spaces are proved for the strong solutions by ::: means of potential analysis and boundedness of certain singular ::: integral operato... | eng_Latn | 11,032 |
Resonant and weakly-bound one-particle levels in quadrupole-deformed potentials | Both positive-energy and weakly-bound one-particle levels for neutrons in Y20 deformed Woods-Saxon potentials are examined in comparison with those in spherical Woods-Saxon potentials. While s1/2 levels play a unique role in spherical drip-line nuclei, the Ωπ = 1/2+ levels in Y20 deformed potentials, which always conta... | The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global ... | eng_Latn | 11,033 |
Frequency pressure regulation in water supply systems | In water supply systems, pressure management in most cases is proven to be the most cost-effective activity related to water loss control. As an advanced method of pressure control, it is possible to use variable frequency drives for centrifugal pump control. Pressure regulation can be performed with constant pressure ... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,034 |
Soliton solution of nonlinear schrodinger equation with application to bosezeinstein condensation using the FD method | In this paper, we discussed the behavior of bright soliton solutions to the NLS equation and their interactions then investigated dark solitons and their formation within an attractive potential and applied them to Bose-Einstein condensation using fast and efficient finite difference scheme. | A spectroscopic method to determine in-cylinder flame temperature and soot concentration was combined with in-cylinder NOx-modelling to study the influence of operating conditions and combustion system parameters on the formation of soot and NOx in a low-emission single- cylinder direct-injection diesel engine. Fuel co... | eng_Latn | 11,035 |
Quantum-classical dynamics of scattering processes in adiabatic and diabatic representations. | We demonstrate the workability of a TDDVR based [J. Chem. Phys. 118, 5302 (2003)], novel quantum-classical approach, for simulating scattering processes on a quasi-Jahn–Teller model [J. Chem. Phys. 105, 9141 (1996)] surface. The formulation introduces a set of DVR grid points defined by the Hermite part of the basis se... | The differential equations of the continuous time LQ control problem are discretized, then the mixed-energy condensation algorithm is established for the continuous time and linear equality constraint LQ control problem, the above algorithm can be used to solve Riccati equation with the linear constraint effectively. A... | eng_Latn | 11,036 |
A generalised Green-Julg theorem for proper groupoids and Banach algebras | The Green-Julg theorem states that K_0^G(B) is isomorphic to K_0(L^1(G,B)) for every compact group G and every G-C*-algebra B. We formulate a generalisation of this result to proper groupoids and Banach algebras and deduce that the Bost assembly map is surjective for proper Banach algebras. On the way, we show that the... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,037 |
The Fractional Schrodinger-Klein-Gordon Equation and Intermediate Relativism | By considering a random walk model compounded in Einstein’s evolution equation, we show that both the classical Schr¨odinger and Klein-Gordon equations can be viewed as a consequence of introducing a memory function given by −iδ and δ (1), respectively. For a memory function of the type −i 1+αδ (α) where 0 < α < 1 we d... | We discuss a paradox which appears in EPR experiments when the collapse of the wave function is analyzed in moving reference frames: the collapse can occur before the actual measurement of the spin component (or polarization) of one of the particles. We show that the paradox can be solved using the instantaneity of the... | eng_Latn | 11,038 |
Hereditary differential systems with constant delays. I. General case | Abstract : The paper presents a discussion of the structure of hereditary differential systems defined on a Banach space with initial data in the space of p-integrable maps. Both finite and infinite time histories are allowed. A unified approach to Global and Local Cauchy problems on finite or infinite time intervals i... | Preface Bose-Einstein Condensation in Nonlinear System New Aspects of Relaxation Processes in Cryogenic Solids Induction Transformer Coupled Discharges: Investigation & Application P-Type InGaAs/AlGaAs Quantum Well Structures for Infrared Photodetection A D-3He Spherical Tokamak Reactor with the Plasma Current Ramp-Up ... | eng_Latn | 11,039 |
Theory and method for accelerating the convergence of self-consistent electronic structure calculations☆ | Abstract In this paper, we present a method which accelerates the iterative process of self-consistent calculations of the electronic structure of atoms, molecules, and crystals. The theory is based on the behavior of potential parameters during the iterative process. A criterion of convergence is established. The conv... | Abstract This paper is a concluding review exposition of the investigations aimed at the construction of a general cosmological solution of the Einstein equations with a singularity in time; thus it is a direct continuation of the previous (1970) paper by the authors in this Journal. A detailed description is given of ... | eng_Latn | 11,040 |
Approximate any l-state solutions of the Dirac equation for modified deformed Hylleraas potential by using the Nikiforov?Uvarov method | We investigate the spin and pseudospin symmetries of the Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation and the Nikiforov—Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for a... | A new computer simulation method based on stochastic integration of the Langevin equations of dislocation motion is proposed for the investigation of the dynamic properties of a system of parallel straight dislocations. The stochastic approach developed for weakly correlated dislocation systems allows for more than dis... | eng_Latn | 11,041 |
Bootstrap in nonstationary autoregression | The first-order autoregression model with heteroskedastic innovations is considered and it is shown that the classical bootstrap procedure based on estimated residuals fails for the least-squares estimator of the autoregression coefficient. A different procedure called wild bootstrap, respectively its modification is c... | The Moyal *-deformed noncommutative version of Burgers' equation is considered. Using the *-analog of the Cole-Hopf transformation, the linearization of the model in terms of the linear heat equation is found. Noncommutative q-deformations of shock soliton solutions and their interaction are described | deu_Latn | 11,042 |
Scalar wave theory : Green's functions and applications | This monograph is an introduction to the mathematical techniques used to describe the scattering and propagation of scalar waves, in particular sound waves. The scalar wave equations and Green's functions are developed from fundamental principles and applied to the following main problems: plane wave and spherical wave... | Let 0 o , has the same behavior as the sequence sup |£Q|'/I 0. In other words, if we know all "far points" of supp Ff, we can wholly describe this behavior without any concrete calculation of ||Z)a/||p , a > 0 . A Paley-Wiener-Schwartz theorem for a nonconvex case, which is a consequence of the result, is given. | eng_Latn | 11,043 |
Integral-antenna-type electronic clock | To improve space-use efficiency and reduce noise entering an antenna body, an electronic clock (100) is provided with: a cylindrical outer case (80); a cover glass (84) for blocking one of the two openings in the outer case (80); a ring-shaped antenna body (40) provided along the inner circumference of the outer case (... | We find a general formula for the distribution of time averaged observables for weakly non-ergodic systems. Such type of ergodicity breaking is known to describe certain systems which exhibit anomalous fluctuations, e.g. blinking quantum dots and the sub-diffusive continuous time random walk model. When the fluctuation... | eng_Latn | 11,044 |
A Generalised Wick Transform for Gravity | Using a key observation due to Thiemann, a generalized Wick transform is introduced to map the constraint functionals of Riemannian general relativity to those of the Lorentzian theory, including matter sources. This opens up a new avenue within ``connection-dynamics'' where one can work, throughout, only with real var... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,045 |
Stable isotopes of the water vapour in the Atmospheric boundary layer from five Atlantic Ocean cruises in 2012-2015 | The marine boundary layer atmospheric water vapour isotopic composition (oxygen 18 and deuterium) has been measured above the Atlantic Ocean from 5 research vessels between 2012 and 2015. Using laser spectroscopy analysers, measurements have been carried out semi-continuously on samples collected 10-20 meter above sea ... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,046 |
Spectral Energy Density in a Kerr Nonlinear Blackbody | In a Kerr nonlinear blackbody, bare photons with opposite wave vectors and helicities are bound into pairs and unpaired photons are transformed into a new kind of quasiparticle, the nonpolariton. The nonpolariton system constitutes free thermal radiation in the blackbody. The present paper investigates the spectral ene... | In this paper, by using the atomic decomposition of the weighted weakHardy space WH1w （Rn）, the authors discuss a class of multilinear oscillatory singularintegrals and obtain their boundedness from the weighted weak Hardy spaceWH1w （Rn） to the weighted weak Lebesgue spaceWL1w（Rn） for w∈ A1（Rn）. | eng_Latn | 11,047 |
Mathematical Analysis of a Bohr Atom Model | Bohr proposed in 1913 a model for atoms and molecules by synthesizing Planck’s quantum hypothesis with classical mechanics. When the atom number Z is small, his model provides good accuracy for the ground-state energy. When Z is large, his model is not as accurate in comparison with the experimental data but still prov... | Simple form of Boltzmann equation will be proposed after introducing a three-dimensional closed Lie group to simplify its collision term. | kor_Hang | 11,048 |
Time‐evolved numerical simulation of a two‐dimensional electron wave packet through a quantum double slit | We performed time‐evolved numerical simulation of a two‐dimensional electron wave packet through a double slit by solving the time‐dependent Schrodinger equation using the finite difference method to simulate the electron interference phenomenon of a single electron. The propagating directions of interference peaks sho... | Abstract We discuss random matrix-model representations of D = 1 string theory, with particular emphasis on the case in which the target space is a circle of finite radius. The duality properties of discretized strings are analyzed and shown to depend on the dynamics of vortices. In the representation in terms of a con... | eng_Latn | 11,049 |
Purge needs in absorption chillers | Absorption chillers are regaining a significant share of large tonnage chiller sales, such as they had 20 years ago. Gas-fired chillers are now available that have a base energy (ultimate fuel usage) consumption rate per ton comparable to that in electric units. Effective purging in an absorption chiller is an absolute... | Preface Bose-Einstein Condensation in Nonlinear System New Aspects of Relaxation Processes in Cryogenic Solids Induction Transformer Coupled Discharges: Investigation & Application P-Type InGaAs/AlGaAs Quantum Well Structures for Infrared Photodetection A D-3He Spherical Tokamak Reactor with the Plasma Current Ramp-Up ... | eng_Latn | 11,050 |
Different thermodynamic pathways to the solvation free energy of a spherical cavity in a hard sphere fluid | This paper determines the excess free energy associated with the formation of a spherical cavity in a hard sphere fluid. The solvation free energy can be calculated by integration of the structural changes induced by inserting the cavity using a number of different exact thermodynamic pathways. We consider three such p... | In this paper the physical meaning of a nonlinear partial differential equation (nPDE) of the fourth order relating to wave theory is deduced to the first time. The equation under consideration belongs to a class of less studied nPDEs and an explicit physical meaning is not known until now. This paper however bridges t... | eng_Latn | 11,051 |
Spectroscopy and lasing performance of a new solid state laser crystal--Nd:GdLiF4 | Laser action of Nd3+ doped GdLiF4 (GLF) has been demonstrated for the first time for both pulsed and CW laser pumped operation. A slope efficiency of 60% was obtained in either manner of operation. Detailed comparison studies show that the spectroscopic properties and laser performance of Nd:GLF are very similar to tho... | We present a theoretical framework for equilibrium and nonequilibrium dynamical simulation of quantum states with spin-density-wave (SDW) order. Within a semiclassical adiabatic approximation that retains electron degrees of freedom, we demonstrate that the SDW order parameter obeys a generalized Landau-Lifshitz equati... | eng_Latn | 11,052 |
Measurement of charged particles and cavitation bubble expansion velocities in laser induced breakdown in water | The measurement of charged particles and cavitation bubble expansion velocity is reported in a laser induced breakdown in water using beam deflection set-up. Effect of laser power on charged particles, cavitation bubble velocities and higher order bubble oscillations is also studied. | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,053 |
Quantum gases: Atomic superfluids see the light | A method for measuring the excitation spectrum in atomic gases confined to optical lattices reveals the band structure of these systems, and should facilitate the comparison of quantum gas phases with their condensed-matter counterparts. | In a previous paper, we adapted Nitsche's method for the approximation of the linear elastodynamic unilateral contact problem. The space semi-discrete problem was analyzed and some schemes (theta-scheme, Newmark and a new hybrid scheme) were proposed and proved to be well-posed under appropriate CFL conditons. In the p... | eng_Latn | 11,054 |
Optical nonuniformities of nonequilibrium turbulent gas flow in fast-axial-flow CO2 laser | The luminescence method and the method of dual-beam shear interferometry were used to perform the measurements of spatial and time characteristics of molecular gas subsonic turbulent flow fluctuations under strong vibrational non- equilibrium. Gas-discharge tubes of fast-axial-flow CO2 laser served as the investigation... | Abstract In this paper, we delve into the dynamics of a barothropic relaxing medium under pressure perturbations originating from blast wave explosions in the milieu. Analyzing the problem within the viewpoint of the Lyakhov formalism of geodynamic systems, we derive a complex-valued nonlinear evolution equation which ... | eng_Latn | 11,055 |
Enigmatic E-Cat of Andrea Rossi and the Unitary Quantum Theory | In this article we are discussing the nature and mechanism of the huge ::: amount of heat generation in Megawatts Energy Catalyzers (E-cat) of Andrea ::: Rossi that are able to change the energetics of our civilization in general. ::: These processes are new effects of Unitary Quantum Theory and do not relate to ::: ei... | Abstract In this note, we obtain some results for the Riccati differential equations u′=A(z)+u2 with nonentire meromorphic functions A(z). Some examples are given to illustrate our some results are sharp. | eng_Latn | 11,056 |
Spectral Properties of Non-Unitary Band Matrices | We consider families of random non-unitary contraction operators defined as deformations of CMV matrices which appear naturally in the study of random quantum walks on trees or lattices. We establish several deterministic and almost sure results about the location and nature of the spectrum of such non-normal operators... | We generalize the algebraic multiplicity of the eigenvalues of nonlinear eigenvalue problems (NEPs) to the rational form and give the extension of the argument principle. In addition, we propose a novel numerical method to determine the algebraic multiplicity of the eigenvalues of the NEPs in a given region by the cont... | eng_Latn | 11,057 |
Some Aspects of Lagrangian Dynamics of Turbulence | This chapter is dedicated to fundamental properties of Lagrangian transport in turbulence, emphasizing the role of anisotropy and 2D turbulence which are relevant for geophysical considerations. The focus is on three main aspects of Lagrangian turbulence: (i) the role of small-scale anisotropy on the Lagrangian energy ... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,058 |
SHORT COMMUNICATION On Flame Propagation Through Periodic Flow Fields | Abstract Flame propagation through a periodic system or time independent eddies is studied. It is shown that at sufficiently low amplitudes of the velocity spatial variation, the effective speed of a passive flame has a global dependence on the underlying flow. However, at high amplitudes, the effective flame speed is ... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | kor_Hang | 11,059 |
Quantization of static domains in slim superlattices | We have calculated dc I - V curves of the semiconductor superlattices of a very small (practically, submicron) cross-section. The I - V curves exhibit periodic oscillations with a voltage period e/C. These oscillations are caused by quantization of electric charge Q of the walls of static high-field domains.© (1992) CO... | We review a new formalism based on Orlicz spaces for the description of large regular statistical systems. Our presentation includes both classical and quantum systems. This approach has the advantage that statistical mechanics is much better settled. | eng_Latn | 11,060 |
An Investigation on Vortex Breakdown Phenomena in a Vertical Cylindrical Tube | ������� ��������� ��� � ����� �� � �������� ���� � ����� ���� ���� ���� ���� * ����� ���� ����� ** ���� ��� ����� ������� *** ������ ��� ���� ���� � ��� � ������� ������ ������ � � * ������� ������� ��� � � ** ������ ������ ������ � � *** ������ ������ ������ � ������ ������� – ��!�"�� � ������ ��� ������ . ������ ����... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,061 |
The Ground State Properties of Polaron in Spherical Quantum Dot in Finite Potential Well | The ground state properties of polaron in spherical quantum dot in finite potential well are studied by using expand the potential function as plane waves, solve precisely energy eigen-equation, variation method and LLP unitary.The numerical results indicate that the ground state energy of polaron increase with increas... | A self-similar solution, for the equatorial propagation of axisymmetric point explosion into an inhomogeneous ideal gas permeated by a current-free azimuthal magnetic field, are obtained. The model has been considered here in which the magnetic field is proportional tor−1, but the total energy of the wave is of the inc... | eng_Latn | 11,062 |
Global attractor for the initial–boundary value problems for Ginzburg–Landau equations for atomic Fermi gases near the BCS–BEC crossover☆ | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | The local interaction between strings with intrinsic spin and an external scalar field is considered as an interaction through a virtual state of a closed string compressed to a point. The amplitude for the interaction of this state with an arbitrary number of open strings in their ground states is constructed. The asy... | eng_Latn | 11,063 |
Optimal decay of extremals for the fractional Sobolev inequality | We obtain the sharp asymptotic behavior at infinity of extremal functions for the fractional critical Sobolev embedding. | We present and analyze different splitting algorithms for numerical ::: solution of the both classical and generalized nonlinear Schrodinger ::: equations describing propagation of wave packets with ::: special emphasis on applications to nonlinear fiber-optics. ::: The considered generalizations take into account ::: ... | eng_Latn | 11,064 |
How chlorides affect FGD design | Chlorides enter scrubber systems from both fuel and makeup water. Chloride buildup in the recirculating liquor of an FGD system probably is the main contributor to corrosion failures in the piping, tanks, and system internals. The proper choice of alloys for these systems can preclude costly maintenance and repairs ove... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,065 |
Computations of Turbulent Recirculating Flows with Fully Coupled Solution of Momentum and Continuity Equations | A fully coupled solution algorithm for pressure-linked fluid flow equations earlier found to be rapidly convergent in laminar flows has been extended to calculate turbulent flows. The governing mean flow equations are solved in conjunction with a two-equation (k - epsilon) turbulence model. A number of two-dimensional ... | We investigated a Bose system confined in one-dimensional channel by using quantum Monte Carlo simulations. We observed temperature dependences of the superfluid density and two correlation functions along the tubal and the circumferential directions of the channel. As temperature is lowered, first the correlation deve... | eng_Latn | 11,066 |
Waves in almost-periodic particle chains | Almost periodic particle chains exhibit peculiar propagation properties that are not observed in perfectly periodic ones. Furthermore, since they inherently support non-negligible long-range interactions and radiation through the surrounding free-space, nearest-neighbor approximations cannot be invoked. Hence the gover... | Abstract A self-consistent quasilinear model of the interaction between VLF emissions and geomagnetic pulsation is set forth. As a result an explicit expression of a modulation frequency dependence can be obtained. | eng_Latn | 11,067 |
The Properties of weakly collapsing solutions to the nonlinear Schrödinger equation at Large values of the free parameters. | It is shown that there exists an infinite set of weakly collapsing solutions with zero energy. Zero energy solutions are distributed along two lines in the space of parameters (A, C1). At large values of C1 (C1→∞), the distance between the nearest points on every line tends to a finite limit. Along each of the lines, t... | Let 0 o , has the same behavior as the sequence sup |£Q|'/I 0. In other words, if we know all "far points" of supp Ff, we can wholly describe this behavior without any concrete calculation of ||Z)a/||p , a > 0 . A Paley-Wiener-Schwartz theorem for a nonconvex case, which is a consequence of the result, is given. | eng_Latn | 11,068 |
Maxwellian distribution versus Rayleigh distribution | The inverse problem of deducing the molecular velocity distribution from a given density function is solved analytically. The results corresponding to two physically interesting systems viz. Maxwellian and Rayleigh gases are compared. | 4 pages.-- PACS numbers: 05.45.Xt, 87.10.+e.-- ArXiv pre-print: http://arxiv.org/abs/nlin.CD/0512009.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.73.055202. | eng_Latn | 11,069 |
The effect of a super-normal phase transition on the collective mass parameter | We derive an expression for the temperature-dependent collective masses for the general collective motion. It is an application of the time dependent BCS approximation, which is usually used for the ground state, to finite temperature. The resulting masses show a very prominent structure, that is, it changes discontinu... | A method of solving the eikonal equation, in either flat or curved space–times, with arbitrary Cauchy data, is extended to the case of data given on a characteristic surface. We find a beautiful relationship between the Cauchy and characteristic data for the same solution, namely they are related by a Legendre transfor... | eng_Latn | 11,070 |
One Method to Fit Biexponential Curve by Using Fourier Transform | Many physical phenomena can be described by biexponential curve. To study the physical phenomena, there is a need to obtain their mathematical expressions. Generally, the expressions are acquired based on the fitting of experimental data, and the general method to fit exponential curve is nonlinear least squares (NLLS)... | We perform a Variational Quantum Monte Carlo simulation of an interacting ::: Fermi gas confined in a three dimensional harmonic potential. This gas is considered as the precursor system from which a molecular bosonic gas is formed. Based in the results of two-body calculations for trapped atoms, we propose a family of... | eng_Latn | 11,071 |
Ten years of Nature Physics: Frozen motion | Cooling the motion of mechanical resonators to the ground state and subsequent advances in cavity optomechanics have been made possible by resolved-sideband cooling — an atomic-physics-inspired technique — first demonstrated in a 2008 Nature Physics paper. | O. Introduction This lecture will unfortunately not be a systematic review of the subject of rigorous results in non-equilibrium statistical mechanics. A preliminary attempt to outline such a review led me quickly to the conclusion that the field is too diverse to be summarized in a single lecture. I have therefore dec... | eng_Latn | 11,072 |
An Integrable Three Particle System Related to Intrinsic Localized Modes in Fermi–Pasta–Ulam-β Chain | In this paper, a ring of three particles interacting via nearest-neighbor harmonic and quartic potentials is investigated for the study of intrinsic localized modes (ILMs) in Fermi–Pasta–Ulam (FPU) atomic chain. In spite of the fact that above Hamiltonian system has been shown to be integrable by Hietaniata [Phys. Rep.... | In this paper, a numerical method is given for solving fuzzy Fredholm integral equations of the second kind, by using Bernstein piecewise polynomial, whose coefficients determined through solving dual fuzzy linear system. Numerical examples are presented to illustrate the proposed method, whose calculations were implem... | eng_Latn | 11,073 |
Monitoring the growth of tension in a liquid contained in a Berthelot tube | A new method of measuring the critical tension which a liquid contained in a steel Berthelot tube can sustain is described which enables one to monitor the growth of this tension prior to its critical value at which the enclosed liquid breaks. The pressure and tension changes in the liquid inside the cylindrical Berthe... | Abstract In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover. | eng_Latn | 11,074 |
Bose-einstein condensation in quasi-2D trapped gases | We discuss Bose-Einstein condensation (BEC) in quasi-2D trapped gases and find that well below the transition temperature T(c) the equilibrium state is a true condensate, whereas at intermediate temperatures T<T(c) one has a quasicondensate (condensate with fluctuating phase). The mean-field interaction in a quasi-2D g... | In this paper, we consider the density-dependent incompressible Navier–Stokes equations in with linearly growing initial velocity at infinity. We obtain a blow-up criterion and global well-posedness of the two-dimensional system. It generalized the local well-posedness results due to the recent work by the first and th... | eng_Latn | 11,075 |
Simulations of Parametric Resonance Ionization Cooling of Muon Beams | Parametric-resonance ionization cooling (PIC) is being developed to create small beams so that high muon collider luminosity can be achieved with fewer muons. In the linear channel that is studied in this effort, a half integer resonance is induced such that the normal elliptical motion of particles in x − x′ phase spa... | We consider the approximation of the ground state of the one-dimensional cubic nonlinear Schrodinger equation by a normalized gradient algorithm combined with linearly implicit time integrator, and finite difference space approximation. We show that this method, also called imaginary time evolution method in the physic... | eng_Latn | 11,076 |
Squeezing in a three-level Jaynes-Cummings model | Abstract The evolution of the state vector of a system composed of a cascade three-level atom and a single-mode field with arbitrary detuning and initial condition has been obtained. The quantum fluctuations of the field are presented. The contribution of single- and two-photon transitions to the squeezing of the field... | The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global ... | eng_Latn | 11,077 |
Free chattering and finite time in a high order system by terminal back-stepping and terminal sliding mode control techniques | Nowadays, finite Time stability of systems is popular for control engineering designers. In this paper, two control inputs will be designed for a typical high order system with using of Nonsingular Terminal Sliding Mode Control (NTSMC) and Back-Stepping methods, which clearly and completely remove chattering phenomena,... | We study, both classically and quantum mechanically, the problem of a neutral particle with a spin angular momentum S, mass m, and magnetic moment μ, moving in one dimension in an inhomogeneous magnetic field given by B=B0ẑ+B⊥′xŷ. This problem serves for us as a toy model to study the trapping of neutral particles. We ... | eng_Latn | 11,078 |
Band structures of a dipolar Bose-Einstein condensate in one-dimensional lattices | We derive the effective Gross-Pitaevskii equation for a cigar-shaped dipolar Bose-Einstein condensate in one-dimensional lattices and investigate the band structures numerically. Due to the anisotropic and the longranged dipole-dipole interaction in addition to the known contact interaction, we elucidate the possibilit... | Abstract We discuss random matrix-model representations of D = 1 string theory, with particular emphasis on the case in which the target space is a circle of finite radius. The duality properties of discretized strings are analyzed and shown to depend on the dynamics of vortices. In the representation in terms of a con... | eng_Latn | 11,079 |
Low-dimensional semi-classical treatment of the dissipation problem | Abstract The interaction between two harmonic oscillators, a classical and a quantum one, coupled through a linear term, is analyzed by recourse to Ehrenfest's theorem. This model is able to mimic dissipative behaviour for the quantum harmonic oscillator, without violating any quantum rule. | A statistical analysis has been made of the distribution functions for residence time of a liquid in different flow formulations. The region of application of the different models of longitudinal dispersion is discussed. | eng_Latn | 11,080 |
A hierarchy of Liouville integrable lattice equations and its integrable coupling systems | Abstract A new discrete two-by-two matrix spectral problem with two potentials is introduced, followed by a hierarchy of integrable lattice equations obtained through discrete zero curvature equations. It is shown that the Hamiltonian structures of the resulting integrable lattice equations are established by virtue of... | We have studied the dynamic regimes of an autonomous chaotic system (a modified oscillator with inertial nonlinearity) and found a chaotic attractor of a new type. The autocorrelation function, power spectrum, and Lyapunov exponents of this attractor have been calculated. Some of these characteristics resemble the beha... | eng_Latn | 11,081 |
Validation of a nonlinear HEMT model by power spectrum characteristics | The experimental bias dependence of the power output spectrum from various types of HEMT at large signal excitation was studied and compared with predicted values obtained from a newly proposed HEMT model. Good agreement between simulated and measured power spectrum up to at least the fourth harmonic was demonstrated f... | Previously developed ``stochastic representation of deterministic interactions`` enables exact treatment of an open system without leaving its native phase space (Hilbert space) due to peculiar stochastic extension of the Liouville (von Neumann) equation for its statistical operator. Can one reformulate the theory in t... | eng_Latn | 11,082 |
Time dependent phenomena in statistical mechanics | O. Introduction This lecture will unfortunately not be a systematic review of the subject of rigorous results in non-equilibrium statistical mechanics. A preliminary attempt to outline such a review led me quickly to the conclusion that the field is too diverse to be summarized in a single lecture. I have therefore dec... | ABSTRACTLong-term travel behavior is difficult to observe and explain and even more difficult to forecast. This paper proposes an approach based on stochastic state equations to describe the gradua... | eng_Latn | 11,083 |
Is there a proof of the time-dependent Schrödinger equation? In many books, we find the proof of the time-independent Schrödinger equation which can be derived from the wave equation and the expression of de Broglie wavelength. But what about the time-dependent equation? In ion-atom collisions, there is a way to prove... | How can one derive Schrödinger equation? The is the basis to understanding quantum mechanics, but how can one derive it? I asked my instructor but he told me that it came from the experience of Schrödinger and his experiments. My question is, can one derive the Schrödinger equation mathematically? | In the Landau theory of phase transitions, is the order parameter a thermodynamic variable of state? In the Landau theory of phase transitions, one typically considers a "free energy" $F$ as a function of the temperature $T$ and the "order parameter" $\psi$: $F(T, \psi)$. For the sake of clarity, let's consider the li... | eng_Latn | 11,084 |
Momentum of electron problem Recently, my friend bemused me with a question related to the momentum of an electron. The confusing logic is stated below: Since an electron is a particle and according to classical physics, we know that it's momentum equals to: $p_e=mv$ However, by looking from a different perspective, ... | $\lambda=\frac{2h}{p}$ instead of $\lambda=\frac{h}{p}$? I am studying quantum physics and there is something I don't understand: I know that for any particle $E=hf$ (Einstein relation) and $v=\lambda f$ ($v$ is the speed of the particle). I also know that the kinetic energy is $E_k=\frac{mv^2}{2}$. Solving those... | How is the Schroedinger equation a wave equation? Wave equations take the form: $$\frac{ \partial^2 f} {\partial t^2} = c^2 \nabla ^2f$$ But the Schroedinger equation takes the form: $$i \hbar \frac{ \partial f} {\partial t} = - \frac{\hbar ^2}{2m}\nabla ^2f + U(x) f$$ The partials with respect to time are not th... | eng_Latn | 11,085 |
Schrodinger Equation | Variational Derivation of Schrodinger Equation | How can one derive Schrödinger equation? | deu_Latn | 11,086 |
Inverse proportional to cosmological scale factor How can I show using calculation that the temperature of the universe is inversely proportional to the cosmological scale factor? I am just curious, as my textbook states this fact but does not show the calculations, and so I was thinking how one could show this? I wo... | Why is scale factor inversely proprotional to temperature? In all lectures, books and papers I have read about, the scale factor of the universe is inversely proportional to temperature $$a \propto \frac{1}{T}$$ What is the reasoning behind this relation? People did mention stretching of wavelength proportional to s... | About the complex nature of the wave function? 1. Why is the wave function complex? I've collected some layman explanations but they are incomplete and unsatisfactory. However in the book by Merzbacher in the initial few pages he provides an explanation that I need some help with: that the de Broglie wavelength and th... | eng_Latn | 11,087 |
In solving finite square well problem, we solve the TISE inside and outside the well, and we match the wave function at the boundary, by the continuity of wave function. Now this bugs me, since the wavefunction is only assume to be square-integrable, why we can use the continuity of wavefunction? Edit: There is no prob... | Is there anything in the physics that enforces the wave function to be $C^2$? Are weak solutions to the Schroedinger equation physical? I am reading the beginning chapters of Griffiths and he doesn't mention anything. | There is a bar of chocolate of size $N$ x $M$. Little square $(x, y)$ is poisoned. There are 2 players taking turns. In each move they can cut the bar along any of the horizontal or vertical lines, then the part which does not contain $(x, y)$ is being eaten. The player who is left only with square $(x, y)$ loses (beac... | eng_Latn | 11,088 |
Why can quantum tunnelling be handled as a static problem? Quantum tunnelling is a process that can happen in quantum mechanics but is forbidden in classical mechanics. Roughly speaking, a particle can possibly escape from a potential well or penetrate into a potential barrier. Obviously, the probability for a trapped ... | Why can we treat quantum scattering problems as time-independent? From what I remember in my undergraduate quantum mechanics class, we treated scattering of non-relativistic particles from a static potential like this: Solve the time-independent Schrodinger equation to find the energy eigenstates. There will be a co... | In the Landau theory of phase transitions, is the order parameter a thermodynamic variable of state? In the Landau theory of phase transitions, one typically considers a "free energy" $F$ as a function of the temperature $T$ and the "order parameter" $\psi$: $F(T, \psi)$. For the sake of clarity, let's consider the li... | eng_Latn | 11,089 |
Expectation value of $\frac{1}{r^2}$ of hydrogen atom | The average of inverse square radius $r^{-2}$ for any state quantum $|n\ell\rangle$ using the radial Schrödinger equation | Proving a graph has no Hamiltonian cycle | eng_Latn | 11,090 |
Connection between Group of Schrodinger equation and energy level degeneracy | What is the relationship between symmetry and degeneracy in quantum mechanics? | Proof that the One-Dimensional Simple Harmonic Oscillator is Non-Degenerate? | eng_Latn | 11,091 |
Derive Entropy of an Ideal Gas of Photons | This article shows the details of the derivation of the entropy of an ideal gas of photons based on the equation of forces that govern the motion of photons. | Projection operators are defined below, given an arbitrary state | ψ ⟩ . {\displaystyle |\psi \rangle .}
| kor_Hang | 11,092 |
Are the Weeping Angels really trapped? | What exactly happens when a Weeping Angel is quantum locked? | Direct proof that nilpotent matrix has zero trace | eng_Latn | 11,093 |
Expectation value of momentum in any bound state How do we prove that the expectation value of momentum operator in any bound state is zero ? $$ \langle \hat{P} \rangle_{\text{bound state}}=0 $$ and what about the position expectation value ? How do we prove it for a general case. How do we get a physical intuition ... | Expectation of momentum in the bound state Is it logically correct to assert that the expectation of the momentum $$\langle \hat p \rangle=0$$ for any bound state because it is bound to some finite region? What is the physical interpretation of the fact that $$\langle \hat p \rangle=0$$ in an energy eigenstate $\psi_n(... | Why can we treat quantum scattering problems as time-independent? From what I remember in my undergraduate quantum mechanics class, we treated scattering of non-relativistic particles from a static potential like this: Solve the time-independent Schrodinger equation to find the energy eigenstates. There will be a co... | eng_Latn | 11,094 |
What is a Bose-Einstein condensate? | What is a Bose–Einstein condensate? What is the use of it? | How would space-time be bent at the middle of the double slit experiment when a single particle passes through the device? | eng_Latn | 11,095 |
What are some examples of Bose-Einstein condensate state of matter? | What are some examples of a Bose-Einstein condensate? | Is it possible to stop time by cooling a closed system down to 0 Kelvin? | eng_Latn | 11,096 |
What is a quarter-wave plate? | What is a Quarter wave plate? | If it's impossible to have zero (no) energy how it is then quantized and non continous? | eng_Latn | 11,097 |
Does a transition matrix have to be square? | Does a transition matrix have to be square? Why? | Is thinking the particle doesn't always travel through a single slit in a double slit experiment the biggest incorrect notion in physics? | eng_Latn | 11,098 |
A bound state is: given a potential vanishing at infinity, negative-energy states must be bound. How can I distinguish between a bound state and a resonance state in particles physics? | I still do not understand what a precisely is. Is it exactly the same as a particle? Or only an excited state? And why does it make a peak in some diagrams? And which diagrams? | Previously I thought this is a universal theorem, for one can prove it in the one dimensional case using variational principal. However, today I'm doing a homework considering a potential like this:$$V(r)=-V_0\quad(r<a)$$$$ V(r)=0\quad(r>a)$$ and found that there is no bound state when $V_0a^2<\pi^2\hbar^2/8... | eng_Latn | 11,099 |
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