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2025-12-13 00:00:00
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Grigori Litvinov, Viktor Maslov, Andrei Sobolevskii
Idempotent mathematics and interval analysis
A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed.
2025-10-20
2,025
brief introduct idempot mathemat idempot version interv analysi present applic discuss
358,002
358,009
A.A. Abramov, A. Aslanyan and E.B. Davies
Bounds on complex eigenvalues and resonances
We obtain bounds on the complex eigenvalues of non-self-adjoint Schr\"odinger operators with complex potentials, and also on the complex resonances of self-adjoint Schr\"odinger operators. Our bounds are compared with numerical results, and are seen to provide useful information.
2025-10-20
2,025
obtain bound complex eigenvalu non self adjoint schr oding oper complex potenti also complex reson self adjoint schr oding oper bound compar numer result seen provid use inform
358,003
358,010
Vladimir P. Gerdt and Yuri A. Blinkov
Involutive Bases of Polynomial Ideals
In this paper we consider an algorithmic technique more general than that proposed by Zharkov and Blinkov for the involutive analysis of polynomial ideals. It is based on a new concept of involutive monomial division which is defined for a monomial set. Such a division provides for each monomial the self-consistent s...
2025-10-20
2,025
paper consid algorithm techniqu gener propos zharkov blinkov involut analysi polynomi ideal base new concept involut monomi divis defin monomi set divis provid monomi self consist separ whole set variabl two disjoint subset call multipl non multipl given admiss order separ appli polynomi term lead monomi special case s...
358,004
358,011
Vladimir P. Gerdt and Yuri A. Blinkov
Minimal Involutive Bases
In this paper we present an algorithm for construction of minimal involutive polynomial bases which are Groebner bases of the special form. The most general involutive algorithms are based on the concept of involutive monomial division which leads to partition of variables into multiplicative and non-multiplicative. ...
2025-10-20
2,025
paper present algorithm construct minim involut polynomi base groebner base special form gener involut algorithm base concept involut monomi divis lead partit variabl multipl non multipl partit give therebi self consist comput procedur construct involut basi perform non multipl prolong multipl reduct everi specif invol...
358,005
358,012
Vladimir P. Gerdt
Involutive Division Technique: Some Generalizations and Optimizations
In this paper, in addition to the earlier introduced involutive divisions, we consider a new class of divisions induced by admissible monomial orderings. We prove that these divisions are noetherian and constructive. Thereby each of them allows one to compute an involutive Groebner basis of a polynomial ideal by sequ...
2025-10-20
2,025
paper addit earlier introduc involut divis consid new class divis induc admiss monomi order prove divis noetherian construct therebi allow one comput involut groebner basi polynomi ideal sequenti examin multipl reduct nonmultipl prolong studi depend involut algorithm complet order base properti particular involut divis...
358,006
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Vladimir P. Gerdt, Vladimir V.Kornyak, Matthias Berth, Guenter Czichowski
Construction of Involutive Monomial Sets for Different Involutive Divisions
We consider computational and implementation issues for the completion of monomial sets to involution using different involutive divisions. Every of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of a Groebner basis, generally redun...
2025-10-20
2,025
consid comput implement issu complet monomi set involut use differ involut divis everi divis produc complet procedur polynomi case yield involut basi special form groebner basi gener redund also compar mathematica implement janet divis implement c
358,007
358,014
Carl P. Dettmann (University of Bristol, UK)
Stable synchronised states of coupled Tchebyscheff maps
Coupled Tchebyscheff maps have recently been introduced to explain parameters in the standard model of particle physics, using the stochastic quantisation of Parisi and Wu. This paper studies dynamical properties of these maps, finding analytic expressions for a number of periodic states and determining their linear st...
2025-08-04
2,025
coupl tchebyscheff map recent introduc explain paramet standard model particl physic use stochast quantis parisi wu paper studi dynam properti map find analyt express number period state determin linear stabil numer evid given nonlinear stabil state also presenc exponenti slow dynam rang paramet result indic theori par...
358,008
358,015
Sergei Sakovich
On continual classes of evolution equations
The original Miura transformation, considered as a nonlinear potential transformation, is applicable to a continual class of evolution equations, not only to discrete integrable equations and their hierarchies. The same continual class of evolution equations appears from a different problem, namely, from the gauge-inva...
2025-10-20
2,025
origin miura transform consid nonlinear potenti transform applic continu class evolut equat discret integr equat hierarchi continu class evolut equat appear differ problem name gaug invari descript zero curvatur represent definit x part contain essenti paramet
358,009
358,016
F. A. Gareev, I. E. Zhidkova
Enhancement Mechanisms of Low Energy Nuclear Reactions
The review of possible stimulation mechanisms of LENR (low energy nuclear reaction) is represented. We have concluded that transmutation of nuclei at low energies and excess heat are possible in the framework of the modern physical theory -- the universal resonance synchronization principle [1] and based on its diffe...
2025-02-08
2,025
review possibl stimul mechan lenr low energi nuclear reaction repres conclud transmut nuclei low energi excess heat possibl framework modern physic theori univers reson synchron principl base differ enhanc mechan reaction rate respons process excit ioniz atom may play role trigger lenr superlow energi extern field may ...
358,010
358,017
F. A. Gareev, I. E. Zhidkova
New Cooperative Mechanisms of Low Energy Nuclear Reactions Using Superlow Energy External Fields
We proposed a new mechanism of LENR: cooperative processes in whole system -- nuclei+atoms+condensed matter can occur at smaller threshold then corresponding ones on free constituents. The cooperative processes can be induced and enhanced by low energy external fields. The excess heat is the emission of internal ener...
2025-02-08
2,025
propos new mechan lenr cooper process whole system nuclei atom condens matter occur smaller threshold correspond one free constitu cooper process induc enhanc low energi extern field excess heat emiss intern energi transmut lenr result redistribut inner energi whole system
358,011
358,018
F.A. Gareev, I.E. Zhidkova
Cooperative Enhancement Mechanisms of Low Energy Nuclear Reactions Using Superlow Energy External Fields
We proposed a new mechanism of LENR: cooperative processes in whole system -- nuclei+atoms+condensed matter can occur at smaller threshold energies then corresponding ones on free constituents. The cooperative processes can be induced and enhanced by low energy external fields. The excess heat is the emission of inte...
2025-02-08
2,025
propos new mechan lenr cooper process whole system nuclei atom condens matter occur smaller threshold energi correspond one free constitu cooper process induc enhanc low energi extern field excess heat emiss intern energi transmut lenr result redistribut inner energi whole system
358,012
358,019
F.A. Gareev, I.E. Zhidkova
Quantization of Differences Between Atomic and Nuclear Rest Masses and Selforganization of Atoms and Nuclei
We come to the conclusion that all atomic models based on either the Newton equation and the Kepler laws, or the Maxwell equations, or the Schrodinger and Dirac equations are in reasonable agreement with experimental data. We can only suspect that these equations are grounded on the same fundamental principle(s) whic...
2025-02-08
2,025
come conclus atom model base either newton equat kepler law maxwel equat schroding dirac equat reason agreement experiment data suspect equat ground fundament principl known equat transform propos new mechan lenr cooper process whole system nuclei atom condens matter nuclear reaction plasma occur smaller threshold ener...
358,013
358,020
Morton E. Gurtin, Debra Polignone, Jorge Vinals
Two-phase binary fluids and immiscible fluids described by an order parameter
A unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law. As a numerical application of the theory, we consider the kinetics of coarsening for a ...
2025-02-25
2,025
unifi framework coupl navier stoke cahn hilliard equat develop use basi balanc law microforc conjunct constitut equat consist mechan version second law numer applic theori consid kinet coarsen binari fluid two space dimens
358,014
358,021
Wenbin Zhang and Jorge Vinals
Pattern formation in weakly damped Faraday waves
We present a theoretical study of nonlinear pattern formation in parametric surface waves for fluids of low viscosity, and in the limit of large aspect ratio. The analysis is based on a quasi-potential approximation to the equations governing fluid motion, followed by a multiscale asymptotic expansion in the distance...
2025-02-25
2,025
present theoret studi nonlinear pattern format parametr surfac wave fluid low viscos limit larg aspect ratio analysi base quasi potenti approxim equat govern fluid motion follow multiscal asymptot expans distanc away threshold close onset asymptot expans yield amplitud equat gradient form allow explicit calcul function...
358,015
358,022
Calin Galeriu
Electromagnetic interaction between two uniformly moving charged particles: a geometrical derivation using Minkowski diagrams
This paper presents an intuitive, geometrical derivation of the relativistic addition of velocities, and of the electromagnetic interaction between two uniformly moving charged particles, based on 2 spatial + 1 temporal dimensional Minkowski diagrams. We calculate the relativistic addition of velocities by projecting...
2025-04-29
2,025
paper present intuit geometr deriv relativist addit veloc electromagnet interact two uniformli move charg particl base spatial tempor dimension minkowski diagram calcul relativist addit veloc project world line particl spatio tempor plane refer frame consid calcul real compon electro magnet forc proper refer frame sour...
358,016
358,023
Alexander V. Shchagin
Diffraction on a polycrystal for investigations and diagnostics of X-ray radiation of relativistic particles in a forward direction
It is shown that the diffraction on a polycrystal can be used for investigation and diagnostics of X-ray radiation emitted in a forward direction by relativistic charged particles moving in crystalline or other targets or fields. Methods for measuring radiation spectral density, divergence, and linear polarization at...
2025-03-07
2,025
shown diffract polycryst use investig diagnost x ray radiat emit forward direct relativist charg particl move crystallin target field method measur radiat spectral densiti diverg linear polar requisit energi unit ten kev propos explan origin experiment observ earlier unidentifi spectral peak result bragg diffract polyc...
358,017
358,024
Craig Philpot
Quantum Spacetime: Emergent Curved Metrics from Relational Separations
In this paper, we propose a novel Quantum Spacetime Theory (QST) that reinterprets spacetime as an emergent structure, challenging the traditional block universe paradigm and aligning with research into emergent spacetime. Using a sphere intersection method, spacetime geometry is constructed from spacelike separation...
2025-05-06
2,025
paper propos novel quantum spacetim theori qst reinterpret spacetim emerg structur challeng tradit block univers paradigm align research emerg spacetim use sphere intersect method spacetim geometri construct spacelik separ invers proport mutual inform quantum subsystem show geometri deriv relat spacelik separ render fl...
358,018
358,025
Calin Galeriu
A derivation of the homogenous Maxwell equations
We present a theoretical derivation of the homogenous Maxwell equations, based on Stokes theorem for Minkowski space tensors.
2025-04-29
2,025
present theoret deriv homogen maxwel equat base stoke theorem minkowski space tensor
358,019
358,026
V. I. Nagaychenko, V. M. Sanin, A. M. Yegorov, A. V. Shchagin
Spectra of pyroelectric X-ray generator
The construction of X-ray generator based on a pyroelectric crystal LiNbO3 is described. Some properties of radiation spectra from the X-ray generator are presented. Measurements of the spectra were performed at heating and cooling of the crystal with copper and chromium targets. The maximum energy in the X-ray spect...
2025-03-06
2,025
construct x ray gener base pyroelectr crystal linbo describ properti radiat spectra x ray gener present measur spectra perform heat cool crystal copper chromium target maximum energi x ray spectrum versu crystal temperatur present
358,020
358,027
S. Setiawan (University of Edinburgh)
Applications of geometric algebra to black holes and Hawking radiation
We discuss the applications of Gauge Theory of Gravity (GTG) within the language of geometric algebra to black holes and Hawking radiation. Applications include the Unruh effect, the Dirac and Klein-Gordon equations in several backgrounds, such as the de Sitter and Rindler metrics as well as spherically and axially b...
2025-03-27
2,025
discuss applic gaug theori graviti gtg within languag geometr algebra black hole hawk radiat applic includ unruh effect dirac klein gordon equat sever background de sitter rindler metric well spheric axial black hole background analysi also generalis allow presenc magnet monopol reder hawk temperatur case deriv correct...
358,021
358,028
James P. Finley
Expressions for the Exchange Correlation Potential and Exchange Correlation Functional of Kohn--Sham Density Functional Theory
The State--Specific Kohn--Sham Density Functional Theory [arXiv:physics/0506037] is used to derive the Kohn-Sham exchange-correlation potential $\vxc$ and exchange-correlation energy $\Eco$ as explicit functionals of $v_s$ and $\phi_1$, where $v_s$ is the local, one-body potential from the Kohn--Sham equations, and $...
2025-01-31
2,025
state specif kohn sham densiti function theori arxiv physic use deriv kohn sham exchang correl potenti vxc exchang correl energi eco explicit function v phi v local one bodi potenti kohn sham equat phi spinless one particl densiti matrix kohn sham noninteract state say phi ran word phi ran ground state eigenfunct nonin...
358,022
358,029
Ivan P. Christov
Correlated non-perturbative electron dynamics with quantum trajectories
An approach to electron correlation effects in atoms that uses quantum trajectories is presented. A comparison with the exact quantum mechanical results for 1D Helium atom shows that the major features of the correlated ground state distribution and of the strong field ionization dynamics are reproduced with quantum ...
2025-02-07
2,025
approach electron correl effect atom use quantum trajectori present comparison exact quantum mechan result helium atom show major featur correl ground state distribut strong field ioniz dynam reproduc quantum trajectori intra atom reson transit describ accur trajectori ensembl present approach reduc significantli compu...
358,023
358,030
Ivan P. Christov
Quantum trajectory perspective of atom-field interaction in attosecond time scale
Here the ionization and high harmonic generation in Hydrogen and Helium by using quantum (hydrodynamic) trajectories is analyzed theoretically. The quantum trajectories allow a self-contained treatment of the electron exchange and correlation effects without introducing ad hoc potentials into the Schrodinger equation...
2025-02-07
2,025
ioniz high harmon gener hydrogen helium use quantum hydrodynam trajectori analyz theoret quantum trajectori allow self contain treatment electron exchang correl effect without introduc ad hoc potenti schroding equat approach predict correct high harmon spectra attosecond puls gener helium atom beyond singl activ electr...
358,024
358,031
I. P. Christov
Time-dependent quantum Monte Carlo: preparation of the ground state
We study one-dimensional (1D) and two-dimensional (2D) Helium atoms using a new time-dependent quantum Monte Carlo (TDQMC) method. The TDQMC method employs random walkers, with a separate guiding wave attached to each walker. The ground state is calculated by a self-consistent solution of complex-time Schroedinger eq...
2025-02-07
2,025
studi one dimension two dimension helium atom use new time depend quantum mont carlo tdqmc method tdqmc method employ random walker separ guid wave attach walker ground state calcul self consist solut complex time schroeding equat guid wave equat veloc field walker result show mani bodi wavefunct ground state energi mo...
358,025
358,032
E.S. Cheb-Terrab (1 and 2), A.D. Roche (2) ((1) SCG/Theor.Phys, UERJ-Brazil, (2) SCG/Fac.Math, U.Waterloo-Canada)
Integrating Factors and ODE Patterns
A systematic algorithm for building integrating factors of the form mu(x,y') or mu(y,y') for non-linear second order ODEs is presented. When such an integrating factor exists, the algorithm determines it without solving any differential equations. Examples of ODEs not having point symmetries are shown to be solvable ...
2025-06-10
2,025
systemat algorithm build integr factor form mu x mu non linear second order ode present integr factor exist algorithm determin without solv differenti equat exampl ode point symmetri shown solvabl use algorithm scheme implement mapl framework odetool packag ode solver comparison implement comput algebra ode solver tack...
358,026
358,033
Alex Karpelson
Matter and Space with Torsion
General equations of the unified field theory, obtained using the curved and torsional space-time, are presented. They contain only independent geometrical parameters (metric and connections) of metric-affine space, and describe the distribution and motion of matter, which represents the curvature and torsion of the sp...
2025-07-23
2,025
gener equat unifi field theori obtain use curv torsion space time present contain independ geometr paramet metric connect metric affin space describ distribut motion matter repres curvatur torsion space time equat describ spheric symmetr field deriv variou case gravit field vacuum arbitrari materi field equat without c...
358,027
358,034
A. Eriksson and B. Mehlig
On the effect of fluctuating recombination rates on the decorrelation of gene histories in the human genome
We show how to incorporate fluctuations of the recombination rate along the chromosome into standard gene-genealogical models for the decorrelation of gene histories. This enables us to determine how small-scale fluctuations (Poissonian hot-spot model) and large-scale variations [Kong et al. (2002)] of the recombinat...
2025-10-01
2,025
show incorpor fluctuat recombin rate along chromosom standard gene genealog model decorrel gene histori enabl us determin small scale fluctuat poissonian hot spot model larg scale variat kong et al recombin rate influenc decorrel find empir determin larg scale variat recombin rate give rise significantli slower decay c...
358,028
358,035
Ioan Sturzu
State transformations after quantum fuzzy measurements
Using a standard fuzzification procedure and the dynamical map in Heisenberg picture, a new expression for the state transformation after a fuzzy filter measurement, subject to covariance conditions, was obtained and some calculations were done to distinguish its properties from the those of the usual solution.
2025-11-20
2,025
use standard fuzzif procedur dynam map heisenberg pictur new express state transform fuzzi filter measur subject covari condit obtain calcul done distinguish properti usual solut
358,029
358,036
Ioan Sturzu
Determination of Quantum Instrument Parameters for a Stern-Gerlach Non-ideal Device
In the Stern--Gerlach (SG) apparatus, when the filtering is not perfect, the fermion state transformation is done by non-ideal devices. Such an apparatus is described in quantum mechanics by quantum instruments. It will be shown how the parameters of this instrument can be expressed in terms of some experimentally acce...
2025-11-20
2,025
stern gerlach sg apparatu filter perfect fermion state transform done non ideal devic apparatu describ quantum mechan quantum instrument shown paramet instrument express term experiment access quantiti relat valid singl success measur latter case measur devic rotat respect first one
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358,037
G. Mauro D'Ariano, Matteo G. A. Paris, and Massimiliano F. Sacchi
Quantum Tomography
This is the draft version of a review paper which is going to appear in "Advances in Imaging and Electron Physics"
2025-05-14
2,025
draft version review paper go appear advanc imag electron physic
358,031
358,038
B. C. Sanctuary
Quantum correlations between separated particles
Long-range quantum correlations between particles are usually formulated by assuming the persistence of an entangled state after the particles have spearated. Here this approach is re-examined based upon studying the correlations present in a pair of EPR spins. Two types of correltions are identified. The first, due ...
2025-04-03
2,025
long rang quantum correl particl usual formul assum persist entangl state particl spearat approach examin base upon studi correl present pair epr spin two type correlt identifi first due quantum interfer term pariti symmetri properti character entangl second correl due conserv angular momentum two contribut equal funct...
358,032
358,039
B. C. Sanctuary, Mangala Sunder Krishnan, S. Presse, and Wei Chen
Quantum "Teleportation" using local correlations
The phenomenon called quantum "teleportation" has been formulated assuming the presence of entangled states and is interpreted as a realization of quantum non-locality. In contrast, correlations from both entanglement and disentanglement upon particle spearation exists and both of these are built into the EPR pair as...
2025-04-03
2,025
phenomenon call quantum teleport formul assum presenc entangl state interpret realiz quantum non local contrast correl entangl disentangl upon particl spearat exist built epr pair move apart shown quantum teleportaton formul interpret without invok non local hypothesi quantum mechan better descrit quantum state select
358,033
358,040
John Gough
Quantum White Noises and The Master Equation for Gaussian Reference States
We show that a basic quantum white noise process formally reproduces quantum stochastic calculus when the appropriate normal / chronological orderings are prescribed. By normal ordering techniques for integral equations and a generalization of the Araki-Woods representation, we derive the master and random Heisenberg e...
2025-10-07
2,025
show basic quantum white nois process formal reproduc quantum stochast calculu appropri normal chronolog order prescrib normal order techniqu integr equat gener araki wood represent deriv master random heisenberg equat arbitrari gaussian state includ thermal squeez state
358,034
358,041
Duje Bonacci
Rabi spectra -- a simple tool for analyzing the limitations of RWA in modelling of the selective population transfer in many-level quantum systems
The controlled manipulation of quantum systems is becoming an important technological tool. Rabi oscillations are one of the simplest, yet quite useful mechanisms for achieving such manipulation. However, the validity of simple Rabi theory is limited and its upgrades are usually both technically involved, as well as li...
2025-05-13
2,025
control manipul quantum system becom import technolog tool rabi oscil one simplest yet quit use mechan achiev manipul howev valid simpl rabi theori limit upgrad usual technic involv well limit simpl two level system aim paper demonstr simpl method analyz applic rwa rabi solut control popul transfer complex mani level q...
358,035
358,042
B. C. Sanctuary
Disentanglement as particles separate
Disentanglement refers to decoherence that destroys the quantum interference terms between particles as they separate. This process reduces the pure isotropic entangled EPR state to a mixed anisotropic state. Averaging over the ensemble of states leads to correlations between separated particles that satisfies Bell's...
2025-04-04
2,025
disentangl refer decoher destroy quantum interfer term particl separ process reduc pure isotrop entangl epr state mix anisotrop state averag ensembl state lead correl separ particl satisfi bell inequ appli disentangl epr pair photon show entangl character variou two particl symmetri properti symmetri properti destroy d...
358,036
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B. C. Sanctuary
The Statistical Interpretation of Entangled States
Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with an arbitrary axis of quantization. This axis acts as a quantum mechanical hidden variable. If the spins lose coherence they disentangle...
2025-04-04
2,025
entangl epr spin pair treat use statist ensembl interpret quantum mechan singlet state result ensembl spin pair arbitrari axi quantiz axi act quantum mechan hidden variabl spin lose coher disentangl mix state whether epr spin pair retain entangl disentangl howev statist ensembl interpret resolv epr paradox give mechan ...
358,037
358,044
Giacomo Mauro D'Ariano, Massimiliano Federico Sacchi, Jonas Kahn
Minimax quantum state discrimination
We derive the optimal measurement for quantum state discrimination without a priori probabilities, i.e. in a minimax strategy instead of the usually considered Bayesian one. We consider both minimal-error and unambiguous discrimination problems, and provide the relation between the optimal measurements according to t...
2025-04-02
2,025
deriv optim measur quantum state discrimin without priori probabl e minimax strategi instead usual consid bayesian one consid minim error unambigu discrimin problem provid relat optim measur accord two scheme show instanc minimum risk cannot achiev orthogon measur common featur minimax estim strategi
358,038
358,045
G. Chiribella, G. M. D'Ariano, P. Perinotti, M. F. Sacchi
Maximum likelihood estimation for a group of physical transformations
The maximum likelihood strategy to the estimation of group parameters allows to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide a deep insight into the general structure underlying optimal quantum estimat...
2025-04-02
2,025
maximum likelihood strategi estim group paramet allow deriv gener fashion optim measur optim signal state relat inform theoret quantiti result provid deep insight gener structur underli optim quantum estim strategi entangl represent space multipl space group action appear uniqu kind entangl realli use optim estim group...
358,039
358,046
G. M. D'Ariano, L. Maccone, M. F. Sacchi
Homodyne tomography and the reconstruction of quantum states of light
Quantum tomography is a procedure to determine the quantum state of a physical system, or equivalently, to estimate the expectation value of any operator. It consists in appropriately averaging the outcomes of the measurement results of different observables, obtained on identical copies of the same system. Alternati...
2025-04-02
2,025
quantum tomographi procedur determin quantum state physic system equival estim expect valu oper consist appropri averag outcom measur result differ observ obtain ident copi system altern consist maxim appropri likelihood function defin data procedur also use complet character unknown apparatu focu electromagnet field t...
358,040
358,047
B. C. Sanctuary
Correlations in Entangled States
Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with its own specific axis of quantization. This axis acts like a quantum mechanical hidden variable. If the spins lose coherence they disen...
2025-04-03
2,025
entangl epr spin pair treat use statist ensembl interpret quantum mechan singlet state result ensembl spin pair specif axi quantiz axi act like quantum mechan hidden variabl spin lose coher disentangl mix state contain classic correl paper infinitesim phase decoher introduc singlet state order reveal clearli correl sho...
358,041
358,048
Lajos Diosi
Continuous Wave Function Collapse in Quantum-Electrodynamics?
Time-continuous wavefunction collapse mechanisms n o t restricted to markovian approximation have been found only a few years ago, and have left many issues open. The results apply formally to the standard relativistic quantum-electrodynamics. I present a generalized Schrodinger equation driven by a certain complex s...
2025-08-05
2,025
time continu wavefunct collaps mechan n restrict markovian approxim found year ago left mani issu open result appli formal standard relativist quantum electrodynam present gener schroding equat driven certain complex stochast field equat reproduc e x c dynam interact fermion qed state fermion appear collaps continu due...
358,042
358,049
Dima Mozyrsky, Vladimir Privman, Steven P. Hotaling
Extended Quantum XOR Gate in Terms of Two-Spin Interactions
Considerations of feasibility of quantum computing lead to the study of multispin quantum gates in which the input and output two-state systems (spins) are not identical. We provide a general discussion of this approach and then propose an explicit two-spin interaction Hamiltonian which accomplishes the quantum XOR g...
2025-10-30
2,025
consider feasibl quantum comput lead studi multispin quantum gate input output two state system spin ident provid gener discuss approach propos explicit two spin interact hamiltonian accomplish quantum xor gate function system three spin two input one output
358,043
358,050
Masanao Ozawa (Nagoya University)
Quantum State Reduction and the Quantum Bayes Principle
This paper gives new foundations of quantum state reduction without appealing to the projection postulate for the probe measurement. For this purpose, the quantum Bayes principle is formulated as the most fundamental principle for determining the state of a quantum system, and the joint probability distribution for t...
2025-06-06
2,025
paper give new foundat quantum state reduct without appeal project postul probe measur purpos quantum bay principl formul fundament principl determin state quantum system joint probabl distribut outcom local success measur noninteract entangl system deriv without assum project postul
358,044
358,051
L. L. Salcedo
Minimum uncertainty for antisymmetric wave functions
We study how the entropic uncertainty relation for position and momentum conjugate variables is minimized in the subspace of one-dimensional antisymmetric wave functions. Based partially on numerical evidence and partially on analytical results, a conjecture is presented for the sharp bound and for the minimizers. Co...
2025-01-10
2,025
studi entrop uncertainti relat posit momentum conjug variabl minim subspac one dimension antisymmetr wave function base partial numer evid partial analyt result conjectur present sharp bound minim conjectur also present correspond sharp hausdorff young inequ
358,045
358,052
Alberto Casado, Trevor W. Marshall and Emilio Santos (School of Engineering, Univ. of Seville, Spain)
Type-II parametric down conversion in the Wigner-function formalism. Entanglement and Bell's inequalities
We continue the analysis of our previous articles which were devoted to type-I parametric down conversion, the extension to type-II being straightforward. We show that entanglement, in the Wigner representation, is just a correlation that involves both signal and vacuum fluctuations. An analysis of the detection proc...
2025-02-18
2,025
continu analysi previou articl devot type parametr convers extens type ii straightforward show entangl wigner represent correl involv signal vacuum fluctuat analysi detect process open way complet descript parametr convers term pure maxwel electromagnet wave
358,046
358,053
Trevor W. Marshall and Emilio Santos (Mathematics Dept., Manchester Univ. and Univ. de Cantabria)
The myth of the photon
We have shown that all "single-photon" and "photon-pair" states, produced in atomic transitions, and in parametric down conversion by nonlinear optical crystals, may be represented by positive Wigner densities of the relevant sets of mode amplitudes. The light fields of all such states are represented as a real proba...
2025-02-18
2,025
shown singl photon photon pair state produc atom transit parametr convers nonlinear optic crystal may repres posit wigner densiti relev set mode amplitud light field state repres real probabl ensembl pseudoensembl solut unquant maxwel equat local realist analysi light detect event spatial separ detector requir theori d...
358,047
358,054
J. Beckers, N. Debergh, F.H. Szafraniec
On oscillatorlike developments and further improvements in squeezing
A recent proposal of new sets of squeezed states is seen as a particular case of a general context admitting realistic physical Hamiltonians. Such improvements reveal themselves helpful in the study of associated squeezing effects. Coherence is also considered.
2025-10-29
2,025
recent propos new set squeez state seen particular case gener context admit realist physic hamiltonian improv reveal help studi associ squeez effect coher also consid
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358,055
T.C.Ralph
Continuous variable quantum cryptography
We propose a quantum cryptographic scheme in which small phase and amplitude modulations of CW light beams carry the key information. The presence of EPR type correlations provides the quantum protection.
2025-10-27
2,025
propos quantum cryptograph scheme small phase amplitud modul cw light beam carri key inform presenc epr type correl provid quantum protect