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Poisson processes on groups and Feynman path integrals

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Abstract

We give an expression for the perturbed evolution of a free evolution by gentle, possibly velocity dependent, potential, in terms of the expectation with respect to a Poisson process on a group. Various applications are given in particular to usual quantum mechanics but also to Fermi and spin systems.

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Authors and Affiliations

  1. Faculté des Sciences de Luminy and Centre de Physique Théorique, France

    Ph. Combe, R. Rodriguez & M. Sirugue

  2. Université de Provence and Centre de Physique Théorique, CNRS, Marseille, France

    M. Sirugue-Collin

  3. Matematisk Institutt, Universitet i Oslo, Oslo

    R. Høegh-Krohn

Authors
  1. Ph. Combe
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  2. R. Høegh-Krohn
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  3. R. Rodriguez
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  4. M. Sirugue
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  5. M. Sirugue-Collin
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Communicated by H. Araki

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Combe, P., Høegh-Krohn, R., Rodriguez, R. et al. Poisson processes on groups and Feynman path integrals. Commun.Math. Phys. 77, 269–288 (1980). https://doi.org/10.1007/BF01269924

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  • DOI: https://doi.org/10.1007/BF01269924

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