Some stochastic aspects of quantization |
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Authors: | Ichiro Ohba |
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Affiliation: | (1) Department of Physics; Advanced Research Center for Science and Technology, Waseda University, 169-8555 Tokyo, Japan;(2) Kagami Memorial Laboratory for Materials and Technology, Waseda University, 169-0051 Tokyo, Japan |
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Abstract: | From the advent of quantum mechanics, various types of stochastic-dynamical approach to quantum mechanics have been tried. We discuss how to utilize Nelson’s stochastic quantum mechanics to analyze the tunneling phenomena, how to derive relativistic field equations via the Poisson process and how to describe a quantum dynamics of open systems by the use of quantum state diffusion, or the stochastic Schrödinger equation. |
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Keywords: | Stochastic process quantization quantum state diffusion |
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