Hamilton Variational Principle for Statistical Ensemble of Deterministic Systems and its Application for Ensemble of Stochastic Systems

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dc.creatorRylov, Yuri A.
dc.date2000-11-12
dc.date.accessioned2026-07-07T04:28:06Z
dc.date.available2026-07-07T04:28:06Z
dc.descriptionHamilton variational principle for special type of statistical ensemble of deterministic dynamical systems is derived. Thie form of variational principle allows one to describe the statistical ensemble in terms of wave functions and provides a basis for a description of statistical ensemble of stochastic systems. It is shown that sometimes such a statistical description of stochastic particle motion appears to coincide with the quantum description in terms of Schroedinger equation.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0011017
dc.identifierhttp://arxiv.org/abs/math-ph/0011017
dc.identifierRus. J. Math. Phys. v. 9, no. 3, 361-70, (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56659
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82C21; 82C22; 60K99; 83C10
dc.titleHamilton Variational Principle for Statistical Ensemble of Deterministic Systems and its Application for Ensemble of Stochastic Systems
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