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Stochastic Processes in Classical and Quantum Systems pp 517–529Cite as

Variational processes

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Part of the book series: Lecture Notes in Physics ((LNP,volume 262))

Abstract

A new class of diffusion processes, the “Bernstein processes”, is introduced in Theoretical Physics. Their dynamical realization, the “Variational processes” yields a new probabilistic interpretation of the Heat equation, much closer to quantum mechanics than the other known classical analogies, and also a new constructive variational approach to Stochastic Mechanics.

From October 1985 : Universität Bielefeld, BiBoS, D-4800 Bielefeld 1, Postfach 8640, West-Germany

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08540, Princeton, NJ

    J. -Claude Zambrini

Authors
  1. J. -Claude Zambrini
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Editor information

S. Albeverio G. Casati D. Merlini

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© 1986 Springer-Verlag

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Zambrini, J.C. (1986). Variational processes. In: Albeverio, S., Casati, G., Merlini, D. (eds) Stochastic Processes in Classical and Quantum Systems. Lecture Notes in Physics, vol 262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171665_94

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  • DOI: https://doi.org/10.1007/3540171665_94

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17166-9

  • Online ISBN: 978-3-540-47222-3

  • eBook Packages: Springer Book Archive

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