Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Quantum mechanics as a generalized stochastic theory in phase space

Steven B. Berger

Published Apr 1, 1978• 0 citations
Publisher
DOI
10.1007/bf02778042

Related papers

Stochastic Quantum Mechanics on Phase Space

Eduard Prugovečki

Springer eBooks•Jan 1, 1992•0 citations

Stochastic localization, quantum mechanics on phase space and quantum space-time

S. Twareque Ali

Rivista Del Nuovo Cimento•Nov 1, 1985•79 citations

Stochastic jump processes in the phase space representation of quantum mechanics

J. Bertrand, Guy Rideau

Springer eBooks•Apr 6, 2008•2 citations

Stochastic jump processes in the phase space representation of quantum mechanics

J. Bertrand, Guy Rideau

Springer eBooks•Apr 6, 2008•1 citation

Relativistic quantum mechanics over stochastic phase space

James A. Brooke

International Journal of Theoretical Physics•Sep 1, 1984•6 citations

Quantum Mechanics as a Generalized Stochastic Theory in Phase Space.

M. D. Srinivas

In this paper we formulate a new stochastic description of quantum mechanics in phase space. The theory of phase-space representations of quantum mechanics, initiated by Wigner, Groenewold, and Moyal and systematized recently by Agarwal and Wolf is essentially a single-time theory, in that it deals only with the quantum-mechanical joint distribution functions for position and momentum at a single instant of time. We develop a natural multitime extension of such a single-time theory. We consider a class of multitime phase-space distribution functions such that an arbitrary quantum multitime correlation function can be expressed as a phase-space average of the form encountered in classical stochastic theories. We study the nonclassical features of these multitime distribution functions and show that they may be considered as characterizing a generalized stochastic process in phase space. We demonstrate that the multitime distribution functions that correspond to Hamiltonian evolution of isolated quantum systems satisfy a certain condition that may be regarded as characterizing a generalized Markov process. We also investigate certain special features of the generalized stochastic processes that characterize the evolution of open systems.

•Feb 1, 1976•0 citations
In this paper we formulate a new stochastic description of quantum mechanics in phase space. The theory of phase-space representations of quantum mechanics, initiated by Wigner, Groenewold, and Moyal and systematized recently by Agarwal and Wolf is essentially a single-time theory, in that it deals only with the quantum-mechanical joint distribution functions for position and momentum at a single instant of time. We develop a natural multitime extension of such a single-time theory. We consider a class of multitime phase-space distribution functions such that an arbitrary quantum multitime correlation function can be expressed as a phase-space average of the form encountered in classical stochastic theories. We study the nonclassical features of these multitime distribution functions and show that they may be considered as characterizing a generalized stochastic process in phase space. We demonstrate that the multitime distribution functions that correspond to Hamiltonian evolution of isolated quantum systems satisfy a certain condition that may be regarded as characterizing a generalized Markov process. We also investigate certain special features of the generalized stochastic processes that characterize the evolution of open systems.