Search results for "Double-slit experiment"

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Contextuality Analysis of the Double Slit Experiment (With a Glimpse Into Three Slits)

2018

The Contextuality-by-Default theory is illustrated on contextuality analysis of the idealized double-slit experiment. The experiment is described by a system of contextually labeled binary random variables each of which answers the question: has the particle hit the detector, having passed through a given slit (left or right) in a given state (open or closed)? This system of random variables is a cyclic system of rank 4, formally the same as the system describing the EPR/Bell paradigm with signaling. Unlike the latter, however, the system describing the double-slit experiment is always noncontextual, i.e., the context-dependence in it is entirely explainable in terms of direct influences of…

Rank (linear algebra)inconsistent connectednessGeneral Physics and AstronomyFOS: Physical scienceslcsh:Astrophysics01 natural sciencesArticledirect influencesProbability theoryRealizabilitylcsh:QB460-4660103 physical sciencesFOS: MathematicscontextualitykvanttimekaniikkaStatistical physicslcsh:Science010306 general physicskvanttiteoriadouble-slitMathematicsQuantum Physicstriple-slitta114010308 nuclear & particles physicsta111Probability (math.PR)Observablecontext-dependencelcsh:QC1-999Constraint (information theory)Double-slit experimentcontext-dependence; contextuality; direct influences; double-slit; inconsistent connectedness; signaling; triple-slitlcsh:QMarginal distributiontodennäköisyyssignalingQuantum Physics (quant-ph)81P13 81Q99 60A99Random variablelcsh:PhysicsMathematics - Probability
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The response field and the saddle points of quantum mechanical path integrals

2021

In quantum statistical mechanics, Moyal's equation governs the time evolution of Wigner functions and of more general Weyl symbols that represent the density matrix of arbitrary mixed states. A formal solution to Moyal's equation is given by Marinov's path integral. In this paper we demonstrate that this path integral can be regarded as the natural link between several conceptual, geometric, and dynamical issues in quantum mechanics. A unifying perspective is achieved by highlighting the pivotal role which the response field, one of the integration variables in Marinov's integral, plays for pure states even. The discussion focuses on how the integral's semiclassical approximation relates to…

PhysicsDensity matrixQuantum PhysicsInstanton010308 nuclear & particles physicsInstantonsFOS: Physical sciencesGeneral Physics and AstronomySemiclassical physicsPath integralsResponse field01 natural sciences[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]Classical limitsymbols.namesakeClassical mechanics0103 physical sciencesPath integral formulationSaddle point approximationsymbolsDouble-slit experimentFeynman diagramQuantum Physics (quant-ph)010306 general physicsQuantum statistical mechanicsAnnals of Physics
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