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Path integration in phase space

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Abstract

We develop a method for defining and performing path integrals in phase space. This work generalizes to phase space the method formulated in recent years for path integration in configuration space. We give the relationship between the Wiener measure and the Liouville measure.

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Author information

Authors and Affiliations

  1. Department of Astronomy and Center for Relativity, University of Texas, 78712, Austin, Texas

    Cécile DeWitt-Morette

  2. Department of Physics, Himachal Pradesh University, Simla, India

    Amar Maheshwari

  3. Department of Physics and Center for Relativity, University of Texas, 78712, Austin, Texas

    Bruce Nelson

Authors
  1. Cécile DeWitt-Morette
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  2. Amar Maheshwari
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  3. Bruce Nelson
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Additional information

Dedicated to Achille Papapetrou on the occasion of his retirement.

This paper was written while the author was Visiting Professor in the Departments of Physics and Mathematics at the University of Texas.

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DeWitt-Morette, C., Maheshwari, A. & Nelson, B. Path integration in phase space. Gen Relat Gravit 8, 581–593 (1977). https://doi.org/10.1007/BF00756309

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  • DOI: https://doi.org/10.1007/BF00756309

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