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

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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.

    Original languageEnglish
    Pages (from-to)719-727
    Number of pages9
    JournalProgress of Theoretical Physics
    Volume102
    Issue number4
    Publication statusPublished - 1999 Oct

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    stochastic processes

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

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    title = "Stochastic quantization of bottomless systems - Stationary quantities in a diffusive process",
    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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    AU - Yuasa, Kazuya

    AU - Nakazato, Hiromichi

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    N2 - 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.

    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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