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query stringlengths 1 13.4k | pos stringlengths 1 61k | neg stringlengths 1 63.9k | query_lang stringclasses 147
values | __index_level_0__ int64 0 3.11M |
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What instruments do pilots use to find the runway and fly the correct approach, even if they cannot see the ground? | There are a number of aids available to pilots, though not all airports are equipped with them. A visual approach slope indicator (VASI) helps pilots fly the approach for landing. Some airports are equipped with a VHF omnidirectional range (VOR) to help pilots find the direction to the airport. VORs are often accompani... | For example, one might refer to the A above middle C as a', A4, or 440 Hz. In standard Western equal temperament, the notion of pitch is insensitive to "spelling": the description "G4 double sharp" refers to the same pitch as A4; in other temperaments, these may be distinct pitches. Human perception of musical interval... | eng_Latn | 10,800 |
How to mute notification sounds during a call on Samsung Galaxy 6 Edge? While on a call, if I receive a text message, the notification sound for text message plays during the call. How do I mute the notification sounds for text messages while I'm on a phone call? My device is Samsung Galaxy 6 Edge. | How to disable SMS notification during phone call? I call somebody, or somebody calls me, we are talking. Now, during the call I got SMS and I cannot hear anything because the SMS notification is playing. So how to disable this notification when call is active? Thank you in advance. Samsung Galaxy Ace 2, Android 2.3.... | Why can we distinguish different pitches in a chord but not different hues of light? In music, when two or more pitches are played together at the same time, they form a chord. If each pitch has a corresponding wave frequency (a pure, or fundamental, tone), the pitches played together make a , which is obtained by simp... | eng_Latn | 10,801 |
What might be a flavor substitution for someone with an onion allergy? I can't eat onions of any kind, from shallots, green onions, red, white, yellow, or purple. What might I use as a subtitute for flavor? | Substitute for onions and garlic I love the taste of onions and garlic and it seems lots of other people do too. But they upset my stomach so much that I can't really cook with them. What can I use in their place to give my food a similar flavour? | Why can we distinguish different pitches in a chord but not different hues of light? In music, when two or more pitches are played together at the same time, they form a chord. If each pitch has a corresponding wave frequency (a pure, or fundamental, tone), the pitches played together make a , which is obtained by simp... | eng_Latn | 10,802 |
How do I calculate my passive Wisdom (Perception) check? My 1st level Wizard has a Wisdom of 13 (modifier +1) and proficiency in Wisdom saving throws, but not proficiency in Perception. Does that mean my passive Wisdom (Perception) score equals 10+1 or 10+1+2 (adding my proficiency bonus). | Does a passive Perception (Wisdom) check add WIS mod + Perception skill? I'm new to D&D. There seems to be a discrepancy between the 5e Starter Set Rulebook and the associated character sheets. The Rulebook says that a passive wisdom (percep) score is "10 + the creature's wisdom modifier, as well as any bonuses." ... | Why can we distinguish different pitches in a chord but not different hues of light? In music, when two or more pitches are played together at the same time, they form a chord. If each pitch has a corresponding wave frequency (a pure, or fundamental, tone), the pitches played together make a , which is obtained by simp... | eng_Latn | 10,803 |
Should buttons be illuminated, or darkened, upon hover? To most, this question might feel subjective... but there's really more than just opinion involved here. If you hover your hand over something in real life, most times a subtle shadow will appear above the object. Mimicking that same idea in the form of user-inte... | Should a button become lighter or darker on hover? We're having a discussion in the office about whether a button should become lighter or darker when a user hovers over it. Here are some examples from the field: Apple "Buy Now" button (Second is hover, third is depressed) - Twitter Bootstrap - (Unselected) ... | Why can we distinguish different pitches in a chord but not different hues of light? In music, when two or more pitches are played together at the same time, they form a chord. If each pitch has a corresponding wave frequency (a pure, or fundamental, tone), the pitches played together make a , which is obtained by simp... | eng_Latn | 10,804 |
I ran into this situation. I had helped out a player by not placing the robber on them with my knight card. To sweeten the deal, she agreed to give me 1 wood + 1 hay in exchange for 1 wood. Is this legal? The board mentions that trading 1 wood for 2 wood is illegal, but is 1 wood + 1 hay considered legal? | Motivation: I once had one surplus card on my hand, and knew the robbers would come soon. So I gave it to someone for free, to avoid losing more cards when they hit. I was surprised by how badly this was received. Two of the three other players (the hosts of the game) acted upset, like I had tried to cheat. I had to ta... | In music, when two or more pitches are played together at the same time, they form a chord. If each pitch has a corresponding wave frequency (a pure, or fundamental, tone), the pitches played together make a , which is obtained by simple addition. This wave is no longer a pure sinusoidal wave. For example, when you pl... | eng_Latn | 10,805 |
and my radio is playing a tune you know... would you be able to tell which tune it is? | No, because the sonic boom would be deafening... | If you constantly listen to led zepplin more than an hour a day you have led poisoning.\n\nLead poisoning is a more serious medical condition that requires treatment and typing classes. The typing classes may be substituted by constantly using spellcheck. | eng_Latn | 10,806 |
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE \nLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL\nPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP | 13 signs of your soulmate\n\n13. When your on the phone with them late at night and they hang up but you miss them already when it was just five minutes ago...\n12. You read their texts over and over again...\n11. You walk really slow when you're with them...\n10. You feel shy whenever you're with them...\n9. When you ... | Pentagons occur naturally when tying knots due to the same reason that when strings are pulled taut, and a fret is placed in the middle, that the pitch that it plays on either side of the fret is a 'perfect fifth.' The idea is that the knot is exactly half the distance away from its other side within the knot itself. I... | yue_Hant | 10,807 |
Why does the brain have waves? | What are brain waves and how can I simulate brain waves? | How do speakers produce sound waves? | eng_Latn | 10,808 |
vertex waves definition | The present study investigated the localization of the. vertex waves. Vertex waves are spike-shaped wave-. forms seen in the EEG leads located in the superior. parietal area during late stage 1 and stage 2 sleep. [1,10]. Vertex waves are thought to have numerous. generators [6] and possibly are secondary evoked po-. | In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes. | eng_Latn | 10,809 |
intermission definition | Intermission definition, a short interval between the acts of a play or parts of a public performance, usually a period of approximately 10 or 15 minutes, allowing the performers and audience a rest. See more. | Neurotransmission (or synaptic transmission) is communication between neurons as accomplished by the movement of chemicals or electrical signals across a synapse. For any interneuron, its function is to receive INPUT information from other neurons through synapses, to process that information, then to send information ... | eng_Latn | 10,810 |
what is responsible for the ability to read? | The temporal lobe is responsible for phonological awareness and decoding/discriminating sounds. The frontal lobe handles speech production, reading fluency, grammatical usage, and comprehension, making it possible to understand simple and complex grammar in our native language. | This couldnât be further from the truth. The ability to sight-read stems from all of the aspects of your musicianship and thus, can be improved on a daily basis with a little attention to detail. When you take an honest look at it, sight-reading is simply your ability to read music.o become a better sight-reader, you... | eng_Latn | 10,811 |
I just do not understand how myelination speeds up action potentials | Why is saltatory conduction in myelinated axons faster than continuous conduction in unmyelinated axons? | Case assignment rule is always executed in the test class | eng_Latn | 10,812 |
Observable-based parametrizations | Eigenvalues for unstable resonators with slightly misaligned strip mirrors. | Fully nonparametric estimation of scalar diffusion models | eng_Latn | 10,813 |
Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model | Self-Organization in nonequilibrium systems | Completely Stale Transmitter Channel State Information is Still Very Useful | eng_Latn | 10,814 |
We experimentally generate different types of two-dimensional self-trapped photonic lattices in a photorefractive medium and analyze the induced refractive index change using two different methods. One method gives the first experimental Fourier space analysis of both linear and nonlinear self-trapped photonic lattices... | We review some of our recent results on experimental light-induced periodic structures and their role in controlling light ::: in discrete optics considering advanced features based on phase engineering and multiplexing of optically-induced lattices. ::: While in the past only rather simple geometries like diamond, squ... | ABSTRACTUNC-45A is an ubiquitously expressed protein highly conserved throughout evolution. Most of what we currently know about UNC-45A pertains to its role as a regulator of the actomyosin system... | eng_Latn | 10,815 |
M ay 2 00 2 Non-unitary observables in the 2 d critical Ising model | Critical percolation on the torus | Paper 320-2013 Reporting Tips for No Observations | eng_Latn | 10,816 |
On-site demonstration procedure for solid-state fluorescent ballast | LBL-11619 L-37 EEB-L-80-07 L bor tory ORNIA NVIR ENT Presented as an On-Site Demonstration Procedure for Solid-State Fluorescent Ballast, Lawrence Berkeley Laboratory, Berkeley, CA, September 11, 1980 ON-SITE DEMONSTRATION PROCEDURE FOR SOLID-STATE FLUORESCENT BALLAST Rudy Verderber and 01 i ver ~1orse September 1980 T... | We investigated the possible solutions of the higher order nonlinear Schrodinger (HNLS) equation describing femtosecond optical pulses in an optical fiber system. By using the Hirota direct method, we derived a fundamental solitary wave solution for arbitrary parameters and a N-soliton solution under some conditions. T... | eng_Latn | 10,817 |
Characterizing heralded single photons with an all-fiber source of photon pairs | Abstract Based on the signal and idler photon pairs produced in a piece of high nonlinear fiber by a pulsed pump, we characterize the heralded single photon source from both the theoretical and experimental aspects. In the theory model, started from the derived expression of Bogoliubov transformation for a broadband pu... | We study the behavior of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained by explicitly coarse graining the model, we show that interactions lead generica... | eng_Latn | 10,818 |
Time Evolution of Density Operator for Field Damping in Squeezed Bath Calculated by Squeezing Transformation and Entangled State Representation | We find that a squeezing transformation can efficiently simplify the density operator equation of field damping in a squeezed bath. Then the entangled state representation is introduced to solve the simplified equation and the time evolution of density operator, which turns out to be a mixed coherent squeezed state. | In the footsteps of our previous work \cite{RamatonBoschi} we generalize the Stefan-Boltzmann and Wien's displacement laws for the $ \textrm{AdS}_5 \times {\cal S}^5 $ spacetime, the background of the AdS/CFT correspondence foremost realization. Our results take into account the $ \textrm{AdS}_5 \times {\cal S}^5 $ ful... | eng_Latn | 10,819 |
On the Ye Gongchuo's Conception of the Ci-poetry from "Quan Qing Ci-poetry Chao" | Ye Gongchuo is the editor-in-chief of "Quan Qing Ci-poetry Chao"-an election holding the largest amount of Qing Ci-poetry.Since it is an election;there,according to the editor,should be a standard.With skimming and scanning,it can be generalized that the following points can reflect the Ye's conception of the Ci-poetry... | 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... | eng_Latn | 10,820 |
Charge density wave formation accompanying ferromagnetic ordering in quasi-one-dimensional BaIrO3 | The magnetic, transport, optical, and structural properties of quasi-one-dimensional BaIrO 3 show evidence for the simultaneous onset of electronic density wave formation and ferromagnetism at Tc3a 175 K: Two additional features in the chain direction dc conductivity show a sudden change to metallic behavior below Tc2a... | 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 | 10,821 |
A modified Jaynes-Cummings model for an atom interacting with a classical multifrequency field | Generation of sub-Poissonian light via the correlated absorption of photons by the dressed atom | Multi-modality in girls' game disputes | eng_Latn | 10,822 |
Special issue: Collisions in collisionless plasmas | Fast spectral methods for the Fokker-Planck-Landau collision operator | Spatial Interaction and the Statistical Analysis of Lattice Systems | eng_Latn | 10,823 |
Regularity of traveling periodic stratified water waves with vorticity | On stratified steady periodic water waves with linear density distribution and stagnation points | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,824 |
Novel mechanism for superconductivity in the resonating-valence-bond ground state. | Loop condensation in the triangular lattice quantum dimer model | Lack of association of the renin-angiotensin system genes polymorphisms and left ventricular hypertrophy in hypertension. | eng_Latn | 10,825 |
SOLUTION OF THE GAP EQUATION FOR A SUPERCONDUCTOR | Mathematical laboratories: a new power for the physical and social sciences | Dissipative Chaos in Semiconductor Superlattices | yue_Hant | 10,826 |
Schroedinger Wheeler-DeWitt Equation In Multidimensional Cosmology | 1 Decoherence in Starobinsky Model | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | kor_Hang | 10,827 |
Distinctive signatures of the lowest bottomonium hybrid | Progress in Particle and Nuclear Physics | Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data | eng_Latn | 10,828 |
Numerical Simulation of Two-color Stationary Light | Numerical analysis of stationary light for potential applications of a quantum interface | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,829 |
Effect of nonlinear gain and filtering on soliton interaction | N-Soliton Train Interactions and Perturbed Complex Toda Chain in Nonlinear Optics. Adiabatic and non-adiabtic aspects. | Soliton-effect compression of supercontinuum to few-cycle durations in photonic nanowires | eng_Latn | 10,830 |
Numerical Analysis of Quantum-Mechanical Non-Uniform E*B Drift | Handbook of mathematical functions | Numerical Quadrature and Solution of Ordinary Differential Equations | kor_Hang | 10,831 |
Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions | Semilinear Elliptic Equations in General Domains | Strong Particle-Hole Symmetry Breaking in a 200 kelvin Superconductor | eng_Latn | 10,832 |
Critical dimensionality in the Anderson-Mott transition | Wave Localization Transitions in Complex Systems 1 | Dimensionless Analysis of Heat, Momentum and Mass Transfer in a Pool Fire | eng_Latn | 10,833 |
Non-Hermitian effective Hamiltonian and continuum shell model | Bound states in the continuum and exceptional points in dielectric waveguide equipped with a metal grating | An utter refutation of the ‘Fundamental Theorem of the HapMap’ | eng_Latn | 10,834 |
Experimental Results Related to Discrete Nonlinear Schr\"odinger Equations | Encyclopedia of Nonlinear Science | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,835 |
Spectral incoherent solitons: a localized soliton behavior in the frequency domain. | Wave kinetic equation in a nonstationary and inhomogeneous medium with a weak quadratic nonlinearity | A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators | eng_Latn | 10,836 |
Global existence of diffusive-dispersive traveling waves for general flux functions | Existence of Traveling Waves of Conservation Laws with Singular Diffusion and Nonlinear Dispersion | Two-dimensional flexible high diffusive spin circuits | eng_Latn | 10,837 |
Adiabatic decay of internal solitons due to the Earth rotation within the framework of the Gardner-Ostrovsky equation. | Dynamics of Localized Waves with Large Amplitude in a Weakly Dispersive Medium with a Quadratic and Positive Cubic Nonlinearity | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,838 |
Harmonically modulated complex solitary waves which are a generalized type of envelope soliton (herein coined oscillatory solitons) are studied for the two U(1)-invariant integrable generalizations of the modified Korteweg-de Vries equation, given by the Hirota equation and the Sasa-Satsuma equation. A bilinear formula... | The Hirota equation and the Sasa-Satsuma equation are U(1)-invariant integrable generalizations of the modified Korteweg-de Vries equation. These two generalizations admit oscillatory solitons, which describe harmonically modulated complex solitary waves parameterized by their speed, modulation frequency, and phase. De... | The Hirota equation and the Sasa-Satsuma equation are U(1)-invariant integrable generalizations of the modified Korteweg-de Vries equation. These two generalizations admit oscillatory solitons, which describe harmonically modulated complex solitary waves parameterized by their speed, modulation frequency, and phase. De... | eng_Latn | 10,839 |
We employ the formal analogy between quadratic and nonlocal solitons to investigate analytically the properties of solitons and soliton bound states in second-harmonic generation in the regime of negative diffraction or dispersion of the second harmonic. We show that in the nonlocal description this regime corresponds ... | A perturbation-iteration method is developed for the computation of the Hermite–Gaussian-like solitons with arbitrary peak numbers in nonlocal nonlinear media. This method is based on the perturbed model of the Schrodinger equation for the harmonic oscillator, in which the minimum perturbation is obtained by the iterat... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,840 |
We present experimental evidence of non-instantaneous solitons within mid-IR supercontinuum spectra in anomalously dispersive liquid-core fibers. Simulations confirm two measured signatures of such states: inhibited broadening and fine spectral fringes. | Soliton-based MIR supercontinuum generation between 1.2 μm and 2.4 μm is presented using a highly nonlinear CS2-core optical fiber and a 430 fs Tm-based pump source. | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,841 |
The Rayleigh-Taylor instability at the interface in an immiscible two-component Bose-Einstein condensate is investigated using the mean field and Bogoliubov theories. Rayleigh-Taylor fingers are found to grow from the interface and mushroom patterns are formed. Quantized vortex rings and vortex lines are then generated... | In this paper we investigate the ground-state properties and related quantum phase transitions for the two-component Bose-Einstein condensate in a single-mode optical cavity. Apart from the usual normal and superradiant phases, multi-stable macroscopic quantum states are realized by means of the spin-coherent-state var... | We report enhancement of the mechanical stability of graphene through a one-step method to disperse gold nanoparticles on the pristine graphene without any added agent. | eng_Latn | 10,842 |
Properties of the linear eigenvalue problem associated to a hyperbolic non-linear Schrodinger equation are reviewed. The instability band of a deep-water soliton is shown to merge to the continuous spectrum of a linear Schrodinger operator. A new analytical approximation of the instability growth near a threshold is de... | The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili method is exploited to numerically compute bi-periodic time-harmonic solutions of the HypNLS equation. In physical space they represent non-... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,843 |
Maxwell–Bloch equations are widely used to model the dynamics due to coherent light-matter interaction in quantum cascade laser (QCL) structures, which plays an essential role especially for the generation of frequency combs and mode-locked pulses. While the modest numerical complexity of the Maxwell–Bloch system allow... | We present long-term dynamic simulations of the optical and carrier dynamics in quantum cascade lasers, obtained by numerically solving the Maxwell-Bloch equations without invoking the rotating wave approximation. We discuss the applied numerical methods and parallelization techniques used to obtain the required numeri... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,844 |
Propagation of short laser pulses governing by a vector type 3D+1 non-linear Schrodinger equation in Kerr-type medium ::: with anomalous dispersion and spatial dependence of the nonlinear refractive index is investigated. Finite energy ::: analytical soliton solutions in spherical coordinates are found. Conditions for ... | L. M. Kovachev, N. I. Kaymakanova, D. Y. Dakova, L. I. Pavlov, R. A. Rousev, S. G. Donev, R. L. Pavlov Institute of Electronics, Bulgarian Academy of Sciences, Tsarigradcko Chaussee 72,1784 Sofia, Bulgaria, Plovdiv University, 24 Tsar Asen Str., 4000 Plovdiv,Bulgaria, Institute for Nuclear Research and Nuclear Energy, ... | In this paper we prove that every nonlinear ∗ -Lie derivation from a factor von Neumann algebra into itself is an additive ∗ -derivation. | eng_Latn | 10,845 |
Evolution of an oscillatory wide-band pulse in a sparse medium composed of randomly distributed, uncorrelated, discrete scatterers (such as atmospheric clouds, dust, or other aerosols) is studied. The frequency-dependent (dispersive) losses are evaluated by taking into account energy absorption in the medium constituen... | It is shown that the scattered field and the field inside the body can be expressed formally as power series in the above ratio, the calculation of successive terms in the series requiring the solution of standard problems in potential theory, together with the evaluation of certain potential integrals, so that the pro... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,846 |
In current Bose-Einstein condensate experiments, the shot-to-shot variation of atom number fluctuates up to 10%. In here, we present a procedure to suppress such fluctuations by using a nonlinear p-pi-pbar matter wave interferometer for a Bose-Einstein condensate with two internal states and a high beam-splitter asymme... | Classical Models of Light Experiments with Photons Quantum Models of Light Basic Optical Components Photo-currents: Generation and Detection The Laser Quantum Noise: Basic Measurements Sub-Poissonian Light Squeezing Experiments Quantum Non-demolition Experiments Applications of Quantum Optics Summary and Outlook Append... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,847 |
In this article, we report on the curious phenomena of anomalous spreading in a system of coupled Fisher-KPP equations. When a single parameter is set to zero, the system consists of two uncoupled Fisher-KPP equations which give rise to traveling fronts propagating with the unique, minimal KPP speed. When the coupling ... | Range expansions are a ubiquitous phenomenon, leading to the spatial spread of genetic, ecological, and cultural traits. While some of these traits are advantageous (and hence selected), other, nonselected traits can also spread by hitchhiking on the wave of population expansion. This requires us to understand how the ... | Every function of n inputs can be efficiently computed by a complete network of n processors in such a way that: If no faults occur, no set of size t n /2 of players gets any additional information (other than the function value), Even if Byzantine faults are allowed, no set of size t n /3 can either disrupt the comput... | eng_Latn | 10,848 |
The emergence of a non-equilibrium Bose-Einstein-like condensation of magnons in rf-pumped magnetic thin films has recently been experimentally observed. We present here a complete theoretical description of the non-equilibrium processes involved. It is demonstrated that the phenomenon is another example of the presenc... | A statistical-thermodynamic theory of the phenomenon of stimulated amplification of the population of excitons which lie at the bottom of their lowest-energy band is presented. The experimentally detected "packet" of excitons flowing ballistically is shown to consist of a Schrodinger-Davydov solitary wave, dressed with... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,849 |
An innovative and novel quartz-enhanced photoacoustic spectroscopy (QEPAS) sensor for highly sensitive and selective breath gas analysis is introduced. The QEPAS sensor consists of two acoustically coupled micro- resonators (mR) with an off-axis 20 kHz quartz tuning fork (QTF). The complete acoustically coupled mR syst... | The Morse-Ingard equations of thermoacoustics are a system of coupled time-harmonic equations for the temperature and pressure of an excited gas. They form a critical aspect of modeling trace gas sensors. In this paper, we analyze a reformulation of the system that has a weaker coupling between the equations than the o... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,850 |
Workshop on Mathematical Methods in Quantum Molecular Dynamics 28 April – 3 May 2013 MEALS | The multi-configurational time-dependent Hartree approach | Chemistry and Quantum Mechanics in 2019: Give Us Insight and Numbers | yue_Hant | 10,851 |
Dynamics of high-order solitons in the nonlocal nonlinear Schr\"{o}dinger equations | Complete integrability of Nonlocal Nonlinear Schr\"odinger equation | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,852 |
From Classical to Quantum Glasses with Ultracold Polar Molecules | Anisotropic blockade using pendular long-range Rydberg molecules | BUAP: Polarity Classification of Short Texts | eng_Latn | 10,853 |
The Fokker-Planck Equation for Lattice Vibration: Stochastic Dynamics and Thermal Conductivity | Thermal Conductivity: Theory, Properties, and Applications | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,854 |
LECTURES ON NONLINEAR DISPERSIVE EQUATIONS II | Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | yue_Hant | 10,855 |
On relation between discrete Frenet frames and the bi-Hamiltonian structure of the discrete nonlinear Schr\"odinger equation | Hamiltonian methods in the theory of solitons | Evidence against a role for platelet-derived molecules in liver regeneration after partial hepatectomy in humans | eng_Latn | 10,856 |
Searching for Entropically Stabilized Phases: The Case of Silver Iodide | Path collective variables without paths | Completely Stale Transmitter Channel State Information is Still Very Useful | eng_Latn | 10,857 |
Decoherence-free propagation and ramification of a solitary pulse | The Theory of Open Quantum Systems | Another Weakness of “ Determinacy ” as a Selection Criterion for Rational Expectations Models | eng_Latn | 10,858 |
Strong-field ionization of He by elliptically polarized light in attoclock configuration | Attoclock revisited on electron tunnelling time | Weak Solutions for SPDEs and Backward Doubly Stochastic Differential Equations | eng_Latn | 10,859 |
On Decay of Solutions to Nonlinear Schrödinger Equations | Exponential Decay Of Two-Body Eigenfunctions: A Review | Improved Measurement of the Pseudoscalar Decay Constant | eng_Latn | 10,860 |
On Choices of Discrepancy for Randomly-Shifted Lattice Rules | Quasi-Monte Carlo Methods with Applications in Finance | Dissipative Chaos in Semiconductor Superlattices | eng_Latn | 10,861 |
Nonequilibrium Statistical Mechanics of Classical Lattice φ4 Field Theory | On the Boltzmann Equation for Weakly Nonlinear Wave Equations | Nonequilibrium evolution of strong-field anisotropic ionized electrons towards a delayed plasma-state | eng_Latn | 10,862 |
Exact traveling wave solutions of some nonlinear evolution equations | Soliton solutions of some nonlinear evolution equations with time-dependent coefficients | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,863 |
Breather-Type Periodic Soliton Solutions for (1+1)-Dimensional Sinh-Poisson Equation | Generalized Kudryashov method for nonlinear fractional double sinh--Poisson equation | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,864 |
Canonical structure of soliton equations. I | An integrable decomposition of the Manakov equation | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,865 |
Transient oscillations in electric wave-filters | Pure mathematics applied in early twentieth-century America: The case of T.H. Gronwall, consulting mathematician | Completely Stale Transmitter Channel State Information is Still Very Useful | eng_Latn | 10,866 |
2004 A Hamiltonian formulation for long internal waves | Hamiltonian Formulation for Water Wave Equation | EXO0748−676 Rules out Soft Equations of State for Neutron Star Matter | eng_Latn | 10,867 |
The relationship between the atomic coherent-state representation of Arecchi et al. [Phys. Rev. A 6, 2211 (1972)] and the state multipoles is established. The state multipoles are used to develop a theory of generalized phase-space distributions for angular momentum (collective atomic) systems. The general theory for a... | Due to the weak absorption of H2O in the near infra red region, the frequency modulation (FM) is one of good technologies to increase the sensitivity of detection. This method is used to study the absorption spectra of water-vapor in the region around 814.65 nm. Compared to direct absorption method, the signal-to-noise... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,868 |
We consider dynamically generated spin squeezing in interacting bimodal condensates. We show that particle losses and non-zero temperature effects in a multimode theory completely change the scaling of the best squeezing for large atom numbers. We present the new scalings and we give approximate analytical expressions ... | We consider the problem of quantum phase estimation with access to arbitrary measurements in a single suboptimal basis. The achievable sensitivity limit in this case is determined by the classical Cram\'{e}r-Rao bound with respect to the fixed basis. Here we show that the sensitivity can be enhanced beyond this limit i... | The temporal behavior of squeezing parameters and second order correlation function is investigated for a two atom dissipative model. The analytic expressions for considering parameters are obtained on the basis of master equation solution for coherent input. An influence of different dissipation mechanisms onto statis... | eng_Latn | 10,869 |
The dynamics of driven-dissipative systems is shown to be well-fitted for achieving efficient combinatorial optimization. The proposed method can be applied to solve any combinatorial optimization problem that is equivalent to minimizing an Ising Hamiltonian. Moreover, the dynamics considered can be implemented using v... | We will discuss the basic concept, operational principle and implementation of a coherent Ising/XY/recurrent neural network machines based on degenerate optical parametric oscillators. The coherent Ising machine with 2048 spins with all-to-all connections demonstrated already competitive performance against the state o... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,870 |
We survey mathematical properties of quasicrystals, first from the point of view of harmonic analysis, then from the point of view of morphic and automatic sequences. | We review the recent developments in the theory of the one-dimensional tight-binding Schrodinger equation for a class of deterministic ergodic potentials. In the typical examples the potentials are generated by substitutional sequences, like the Fibonacci or the Thue-Morse sequence. We concentrate on rigorous results w... | Thank you very much for reading analysis in classes of discontinuous functions and equations of mathematical physics. As you may know, people have look hundreds times for their favorite books like this analysis in classes of discontinuous functions and equations of mathematical physics, but end up in malicious download... | eng_Latn | 10,871 |
The self-consistent field method utilized for solving the Hartree-Fock (HF) problem and the closely related Kohn-Sham problem is typically thought of as one of the cheapest methods available to quantum chemists. This intuition has been developed from the numerous applications of the self-consistent field method to a la... | Obtaining exact solutions to the Schrödinger equation for atoms, molecules, and extended systems continues to be a "Holy Grail" problem which the fields of theoretical chemistry and physics have been striving to solve since inception. Recent breakthroughs have been made in the development of hardware-efficient quantum ... | The liquid drop model the shell model rotation and single-particle motion nuclear forces the Hartree-Fock method pairing correlations and superfluid nuclei the generalized single-particle model (HFB theory) harmonic vibrations boson expansion methods the generator coordinate method restoration of broken symmetries the ... | eng_Latn | 10,872 |
Bright and dark spatial gap solitons are demonstrated in waveguide arrays. These gap solitons travel across the array at zero transverse velocity, in complete analogy with stationary (immobile) temporal gap solitons. Furthermore, the launching configuration for observing these stationary gap solitons is shown to be the... | We report on the stabilization of inherently unstable counterpropagating photorefractive spatial solitons by the use of one- and two-dimensional photonic lattices. We numerically investigate the dependence of the instability dynamics on period and amplitude of the lattice and present experimental verification for the d... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,873 |
The Aharonov-Bohm, and its dual, the Aharonov-Casher effects have been extremely fruitful in physics and, nowadays, they are of central importance for quantum technologies. Here, we study the Aharonov-Bohm effect for a Bose-Einstein condensate propagating out of equilibrium along a mesoscopic ring-shaped laser light po... | Mott insulators provide stable quantum states and long coherence times to due to small number fluctuations, making them good candidates for quantum memory and atomic circuits. We propose a proof-of-principle for a 1D Mott switch using an ultracold Bose gas and optical lattice. With time-evolving block decimation simula... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,874 |
We investigate the entanglement and nonlocality properties of two random XX spin-1/2 critical chains, in order to better understand the role of breaking translational invariance to achieve nonlocal states in critical systems. We show that breaking translational invariance is a necessary but not sufficient condition for... | The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277]. The aim of the present colloquium paper is thus to give an overview of these various recent developments. In the field of quantum disordered models, recent progress concer... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,875 |
We theoretically investigate properties of magnetostatic traps for cold atoms that are subject to externally applied uniform fields. We show that Ioffe-Pritchard traps and other stationary points of B are confined to a two-dimensional curved surface, or manifold M, defined by det({partial_derivative}B{sub i}/{partial_d... | We review recent developments in the use of magnetic lattices as a complementary tool to optical lattices for trapping periodic arrays of ultracold atoms and degenerate quantum gases. Recent advances include the realisation of Bose–Einstein condensation in multiple sites of a magnetic lattice of one-dimensional microtr... | In this short note we prove that if X is a separably rationally connected variety over an algebraically closed field of positive characteristic, then H^1(X, O_X)=0. | eng_Latn | 10,876 |
In solving the problem of finding a temperature distribution which, at zero temperature, corresponds to superfluidity, i.e., to nonzero energy, the author tried to quantize free energy. This was done on the basis of supersecondary quantization whose special case is the usual secondary quantization for bosons and with t... | The Principle of Complementarity of Probabilities based on of noncommutative probability is introduced. | Recently, S. Reich and S. Simons provided a novel proof of the Kirszbraun-Valentine extension theorem using Fenchel duality and Fitzpatrick functions. In the same spirit, we provide a new proof of an extension result for firmly nonexpansive mappings with an optimally localized range. | eng_Latn | 10,877 |
In this paper, we study an integro-differential equation based on the generalized KdV equation with a convolution term which introduces a time delay in the nonlinearity. Special attention is paid to the existence of solitary wave solutions. Motivated by [M.J. Ablowitz, H. Seger, Soliton and Inverse Scattering Transform... | We consider a fifth-order singularly perturbed KdV equation. The direct perturbation method for solving it is investigated in the first order approximation for the travelling wave case. The application of the method leads to a general soliton of the first-order equation, which describes some arrays of wave crests. Anal... | A discussion of the theory and applications of classical solitons is presented with a brief treatment of quantum mechanical effects which occur in particle physics and quantum field theory. The subjects addressed include: solitary waves and solitons, scattering transforms, the Schroedinger equation and the Korteweg-de ... | eng_Latn | 10,878 |
The adiabatic dynamics of a two level atom with spontaneous decay is studied. The existence of a complex adiabatic phase shift is established: The real part being the usual Berry’s phase. A closed‐form expression for this phase and the adiabatic transition amplitudes is obtained. Incorporation of a finite preparation t... | We consider the adiabatic regime of two parameters evolution semigroups generated by linear operators that are analytic in time and satisfy the following gap condition for all times: the spectrum of the generator consists in finitely many isolated eigenvalues of finite algebraic multiplicity, away from the rest of the ... | We demonstrated adiabatic sum-frequency generation with 92 % photon conversion efficiency between a white-light continuum and a strong pump at 1030 nm to cover the spectral range of 405-500 nm by using an aperiodically-poled nonlinear crystal. | eng_Latn | 10,879 |
We study analytically the existence and uniqueness of the ground state of the nonlinear Schr\"{o}dinger equation (NLSE) with a general power nonlinearity described by the power index $\sigma\ge0$. For the NLSE under a box or a harmonic potential, we can derive explicitly the approximations of the ground states and thei... | In this paper, we mainly review recent results on mathematical theory and ::: numerical methods for Bose-Einstein condensation (BEC), ::: based on the Gross-Pitaevskii equation (GPE). Starting from the simplest case with one-component BEC of the weakly interacting bosons, we study the reduction of GPE to lower dimensio... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,880 |
We discuss various methods and problems pertaining to that part of Random Dynamical Systems which deals with real noise processes. We consider the theory of random orthogonal polynomials, and show how methods applied to the study of the random Schrodinger operator can be generalized to study them. We further discuss ce... | We study bifurcations in dynamical systems with bounded random perturbations. Such systems, which arise quite naturally, have been nearly ignored in the literature, despite a rich body of work on systems with unbounded, usually normally distributed, noise. In systems with bounded random perturbations, new kinds of bifu... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,881 |
We consider a complete study of the influence of the cavity size on the spontaneous decay of an atom excited state, roughly approximated by a harmonic oscillator. We confine the oscillator-field system in a spherical cavity of radius $R$, perfectly reflective, and work in the formalism of dressed coordinates and states... | Fundamentals Survey of the Various Approaches Path Integral Description of Open Quantum Systems Imaginary-Time and Real-Time Approaches Influence Functional Method Phenomenological and Microscopic System-Plus-Reservoir Models Linear and Nonlinear Quantum Environments Ohmic, Super-Ohmic, and Sub-Ohmic Dissipation Quantu... | Private charity has often been modelled as a pure public good. The results reported in this paper, however, suggest that this model of altruism fails to confirm even the broadest empirical observations about charity. In particular, as the size of the economy grows, the fraction contributing to the public good diminishe... | eng_Latn | 10,882 |
We introduce a novel class of higher-order, three-mode states called K-dimensional trio coherent states. We study their mathematical properties and prove that they form a complete set in a truncated Fock space. We also study their physical content by explicitly showing that they exhibit nonclassical features such as os... | In this contribution we study a superposition of two finite dimensional trio coherent states (FTCS). The state is regarded as a correlated three-mode state in finite dimensional bases. The framework of Pegg and Barnett formalism, and the phase distribution in addition to the Poissonian distribution are examined. It is ... | ABSTRACTUNC-45A is an ubiquitously expressed protein highly conserved throughout evolution. Most of what we currently know about UNC-45A pertains to its role as a regulator of the actomyosin system... | eng_Latn | 10,883 |
The collision between two counterpropagating dust acoustic solitary waves in a strongly coupled dusty plasma has been observed. The measured velocity and width of the solitary wave agree with the solution of the Korteweg-de Vries equation derived by using the generalized hydrodynamic model. The two counterpropagating s... | The rarefactive KdV solitary waves in a dusty plasma have been extensively studied analytically and found experimentally in the previous works. Though the envelope solitary wave described by a nonlinear Schrödinger equation (NLSE) has been proposed by using the reductive perturbation method, it is first verified by usi... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,884 |
We realize an experimental control over the topological stability of three-lobe discrete vortex solitons by modifying the symmetry of a hexagonal photonic lattice optically induced in a photorefractive crystal. By continuously deforming the lattice wave in one transverse direction, we manipulate the coupling between la... | In this work we study quantum signatures of charge flipping vortices[1], found in the classical discrete nonlinear Schrodinger trimer[2], by use of the Bose-Hubbard model. We are able to identify s ... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,885 |
The phenomenon of wave tails has attracted much attention over the years from both physicists and mathematicians. However, our understanding of this fascinating phenomenon is not complete yet. In particular, most former studies of the tail phenomenon have focused on scattering potentials which approach zero asymptotica... | The main aim of this paper is twofold. (1) Exact solutions of a scalar field in the Schwarzschild spacetime are presented. The exact wave functions of scattering states and bound-states are presented. Besides the exact solution, we also provide explicit approximate expressions for bound-state eigenvalues and scattering... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,886 |
The Kibble–Zurek mechanism is applied to the spontaneous formation of vortices in a harmonically trapped thermal gas following a temperature quench through the critical value for Bose–Einstein condensation. Whereas in the homogeneous scenario, vortex nucleation is always expected, we show that it can be completely supp... | The Kibble–Zurek scaling describes the driven critical dynamics starting with an equilibrium state far away from the critical point. Recently, it has been shown that scaling behaviors also exist when the fluctuation term changes starting near the critical point. In this case, the relevant initial conditions should be i... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,887 |
In the Memory of Shlomo Alexander.- Topological Considerations in Superconductivity.- The de Gennes-Alexander Theory of Superconducting Micronetworks.- Nodal Sets, Multiplicity and Superconductivity in Non-simply Connected Domains.- Connectivity and Flux Confinement Phenomena in Nanostructured Superconductors.- Zero Se... | Many analyses based on the time-dependent Ginzburg--Landau model are not consistent with statistical mechanics, because thermal fluctuations are not taken correctly into account. We use the fluctuation-dissipation theorem in order to establish the appropriate size of the Langevin terms, and thus ensure the required con... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,888 |
We study many-body systems in $d$ dimensions interacting with a purely attractive pair potential $\ensuremath{\sim}|{\mathbf{x}}_{i}\ensuremath{-}{\mathbf{x}}_{j}{|}^{\ensuremath{\nu}}$, where ${\mathbf{x}}_{i}$ is the position vector of particle $i$, and $\ensuremath{\nu}$ is a positive parameter. We derive the temper... | Dedicated to Yakov Sinai and David Ruelle on the occasion of their 65th birthday ABSTRACT. We propose a definition of microcanonical and canonical statistical ensem- bles based on the concept of density of states. This definition applies both to the classical and the quantum case. For the microcanonical case this allow... | We report enhancement of the mechanical stability of graphene through a one-step method to disperse gold nanoparticles on the pristine graphene without any added agent. | eng_Latn | 10,889 |
This paper presents collective variable approach for super-sech soliton dynamics in optical metamaterials. The soliton dynamics is governed by the generalized nonlinear Schrodinger's equation. The numerical simulations of pulse width, amplitude, chirp and frequency are given. | Employing collective variable approach, femtosecond pulse propagation has been investigated in optical fibers using the higher order nonlinear Schrodinger equation. In order to view the pulse dynamics along the propagation distance, variation of different pulse parameters, called collective variables, such as pulse amp... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,890 |
Motivated by recent experiments, we investigate the system of isotropically-interacting bosons with Rashba spin-orbit coupling. At the non-interacting level, there is a macroscopic ground-state degeneracy due to the many ways bosons can occupy the Rashba spectrum. Interactions treated at the mean-field level restrict t... | Bosons have a natural instinct to condense at zero temperature. It is a long-standing challenge to create a high-dimensional quantum liquid that does not exhibit long-range order at the ground state, as either extreme experimental parameters or sophisticated designs of microscopic Hamiltonian are required for suppressi... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,891 |
We demonstrate that a site-dependent driving of a periodic potential allows for the controlled manipulation of a quantum particle on length scales of the lattice spacing. Specifically we observe for distinct driving frequencies a near depletion of certain sites which is explained by a resonant mixing of the involved Fl... | Part I: Pictures And Concepts The Time Dependent Schrodinger Equation The Free Particle Wave Packet The Gaussian Wavepacket Classical-quantum Correspondence The Wigner Representation Correlation Functions and Spectra One Dimensional Barrier Scattering Part II: Formal Theory And Methods Of Approximation Linear Algebra a... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,892 |
The interaction between two two-level atoms via photon exchange is simulated. The language of qubits is used with the aim of possible application of this model to the construction of quantum processors based on the interaction of several atoms with unit photons. The study involves a qubit form of the Jaynes-Cummings-Hu... | We describe computer methods of simulation of Tavis-Cummings based quantum models, and apply those methods to specific tasks, conductivity measurements of atomic excitations in short chains of optical cavities with two-level atoms, C-Sign optical model, and dark states. For the conductivity measurements, we reproduce t... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,893 |
We give a simple derivation of the perturbed Boussinesq and Korteweg--de Vries equations which take into account the effects of the interaction between ion-sound waves and resonance particles. We obtain for the perturbation terms explicit expressions which describe the resonance interaction of solitons with plasma part... | A simple model of ion fluctuations (ion acoustic and ion cyclotron fluctuations for example) driven by an elec- tron current which leads to intermittent fluctuations when the linear growth rate exceeds the wave packet dispersion rate is analized. The normalized fluctuation amplitude e 0/T can be much larger than the ma... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,894 |
We consider systems, which conserve the particle number and are described by Schr\"odinger equations containing complex nonlinearities. In the case of canonical systems, we study their main symmetries and conservation laws. We introduce a Cole-Hopf like transformation both for canonical and noncanonical systems, which ... | A large class of physically important nonlinear and nonhomogeneous evolution problems, characterized by advection-like and diffusion-like processes, can be usefully studied by a time-differential form of Kolmogorov's solution of the backward-time Fokker-Planck equation. The differential solution embodies an integral re... | We describe a direct method for solving sparse linear least squares problems. The storage required for the method is no more than that needed for the conventional normal equations approach. However, the normal equations are not computed; orthogonal transformations are applied to the coefficient matrix, thus avoiding th... | eng_Latn | 10,895 |
We present a laser beam shaping method using acousto-optic deflection of light and discuss its application to dipole trapping of ultracold atoms. By driving the acousto-optic deflector with multiple frequencies, we generate an array of overlapping diffraction-limited beams that combine to form an arbitrary-shaped smoot... | We have created a Bose-Einstein condensate (BEC) of ${}^{87}\mathrm{Rb}$ atoms directly in an optical trap. We employ a quasielectrostatic dipole force trap formed by two crossed ${\mathrm{CO}}_{2}$ laser beams. Loading directly from a sub-Doppler laser-cooled cloud of atoms results in initial phase space densities of ... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,896 |
We present first steps toward understanding the ultracold scattering properties of polar molecules in strong electric field-seeking states. We have found that the elastic cross section displays a quasiregular set of potential resonances as a function of the electric field, which potentially offers intimate details abou... | In this review chapter we focus on the many-body dynamics of cold polar molecules in the strongly interacting regime. In particular, we discuss a toolbox for engineering many-body Hamiltonians based on the manipulation of the electric dipole moments of the molecules, and thus of molecular interactions, using external s... | Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights. | eng_Latn | 10,897 |
We introduce the one-dimensional PT-symmetric Schrodinger equation, with complex potentials in the form of the canonical superoscillatory and suboscillatory functions known in quantum mechanics and optics. While the suboscillatory-like potential always generates an entirely real eigenvalue spectrum, its counterpart bas... | The spectral, dynamical and topological properties of physical systems described by non-Hermitian (including $\mathcal{PT}$-symmetric) Hamiltonians are deeply modified by the appearance of exceptional points and spectral singularities. Here we show that exceptional points in the continuum can arise in non-Hermitian (ye... | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,898 |
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schr\"odinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformati... | 1. The Birth of a Paradigm 2. Linear Wave Theory 3. The Classical Soliton Equations 4. Reaction-Diffusion Systems 5. Nonlinear Lattices 6. Inverse Scattering Methods 7. Peturbation Theory 8. Quantum Lattice Solitons 9. Looking Ahead Bibliography Index | We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero. | eng_Latn | 10,899 |
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