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Stochastic Representation of Unitary Quantum Evolution

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Seminar on Stochastic Analysis, Random Fields and Applications

Part of the book series: Progress in Probability ((PRPR,volume 36))

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Abstract

We show that unitary Schrödinger evolution can be expressed by a diffusion process. Quantum mechanics is realized as stochastic mechanics on an (extended) complex configuration space. Such a formulation of quantum mechanics may be considered as a rigorous version of the Feynman path integral. We discuss several explicitly soluble models.

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Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland

    Z. Haba

Authors
  1. Z. Haba
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Abteilung Angewandte Mathematik, Universität Zürich-Irchel, Winterthurerstr. 190, CH-8057, Zürich, Switzerland

    Erwin Bolthausen

  2. Département de Mathématiques, Université de Nancy 1, B.P. 239, F-54506, Vandoeuvre-Les-Nancy Cedex, France

    Marco Dozzi

  3. Département de Mathématiques Institut Galilée, Université Paris-Nord, Av. Jean-Baptiste Clément, F-93430, Villetaneuse, France

    Francesco Russo

  4. BIBOS, Universität Bielefeld, D-33615, Bielefeld 1, Germany

    Francesco Russo

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© 1995 Springer Basel AG

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Haba, Z. (1995). Stochastic Representation of Unitary Quantum Evolution. In: Bolthausen, E., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications. Progress in Probability, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7026-9_10

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  • DOI: https://doi.org/10.1007/978-3-0348-7026-9_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7028-3

  • Online ISBN: 978-3-0348-7026-9

  • eBook Packages: Springer Book Archive

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