A stochastic mechanics and its connection with quantum mechanics

Ying Oon Tan; Boon Leong Lan

doi:10.1063/1.1874587

A stochastic mechanics and its connection with quantum mechanics

Ying Oon Tan, Boon Leong Lan

Malaysia School of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

1 Citation (Scopus)

Abstract

Previously [J. Mod. Optics, 51, 1093, (2004)], we introduced an alternative stochastic mechanics in the form of a stochastic differential equation with a stochastic process defined by the set of Bohmian momentum time histories from an ensemble of particles. We showed that the alternative stochastic mechanics with a purely random process characterized by an n-th order joint probability density in the form of products of delta functions is equivalent to quantum mechanics. In this paper, we show that, for a particular non-purely random process, the alternative stochastic mechanics is not equivalent to quantum mechanics. Hence, the alternative stochastic mechanics is generally not equivalent to quantum mechanics.

Original language	English
Title of host publication	Foundations of Probability and Physics - 3, FPP3
Pages	361-367
Number of pages	7
DOIs	https://doi.org/10.1063/1.1874587
Publication status	Published - 2005
Event	Foundations of Probability and Physics 2004 - Vaxjo, Sweden Duration: 7 Jun 2004 → 12 Jun 2004 Conference number: 3rd https://aip.scitation.org/toc/apc/750/1 (Proceedings)

Publication series

Name	AIP Conference Proceedings
Volume	750
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Foundations of Probability and Physics 2004
Country/Territory	Sweden
City	Vaxjo
Period	7/06/04 → 12/06/04
Internet address	https://aip.scitation.org/toc/apc/750/1 (Proceedings)

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10.1063/1.1874587

Cite this

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AB - Previously [J. Mod. Optics, 51, 1093, (2004)], we introduced an alternative stochastic mechanics in the form of a stochastic differential equation with a stochastic process defined by the set of Bohmian momentum time histories from an ensemble of particles. We showed that the alternative stochastic mechanics with a purely random process characterized by an n-th order joint probability density in the form of products of delta functions is equivalent to quantum mechanics. In this paper, we show that, for a particular non-purely random process, the alternative stochastic mechanics is not equivalent to quantum mechanics. Hence, the alternative stochastic mechanics is generally not equivalent to quantum mechanics.

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ER -

A stochastic mechanics and its connection with quantum mechanics

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