Stochastic quantization of bottomless systems - Stationary quantities in a diffusive process

Kazuya Yuasa; Hiromichi Nakazato

doi:10.1143/PTP.102.719

Stochastic quantization of bottomless systems - Stationary quantities in a diffusive process

Kazuya Yuasa^*, Hiromichi Nakazato

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

By making use of the Langevin equation with a kernel, it was shown that the Feynman measure e^-s can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.

Original language	English
Pages (from-to)	719-727
Number of pages	9
Journal	Progress of Theoretical Physics
Volume	102
Issue number	4
DOIs	https://doi.org/10.1143/PTP.102.719
Publication status	Published - 1999 Oct

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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abstract = "By making use of the Langevin equation with a kernel, it was shown that the Feynman measure e-s can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.",

author = "Kazuya Yuasa and Hiromichi Nakazato",

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AB - By making use of the Langevin equation with a kernel, it was shown that the Feynman measure e-s can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.

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Stochastic quantization of bottomless systems - Stationary quantities in a diffusive process

Abstract

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