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Strong coupling limit for a certain class of polaron models
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  • Published: December 1991

Strong coupling limit for a certain class of polaron models

  • Ulrich Mansmann1 

Probability Theory and Related Fields volume 90, pages 427–446 (1991)Cite this article

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  • 3 Citations

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Summary

It will be shown, that a Polaron-like asymptotic is given for a class of functions which are called “of decreasing interaction and nicely approximable with respect to the Wiener process”. Using Large Deviation techniques one can see, that the asymptotics for thestrong coupling limit for those Polaron models is given by a “meanfield” model and can be described by a variational problem.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Berlin, Strasse des 17. Juni 136, W-1000, Berlin 12, Federal Republic of Germany

    Ulrich Mansmann

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  1. Ulrich Mansmann
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Cite this article

Mansmann, U. Strong coupling limit for a certain class of polaron models. Probab. Th. Rel. Fields 90, 427–446 (1991). https://doi.org/10.1007/BF01192137

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  • Received: 23 February 1990

  • Revised: 24 September 1990

  • Issue Date: December 1991

  • DOI: https://doi.org/10.1007/BF01192137

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Keywords

  • Stochastic Process
  • Probability Theory
  • Strong Coupling
  • Variational Problem
  • Mathematical Biology
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