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Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics

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Functional Analysis in Markov Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 923))

Abstract

We discuss some questions which arise in connection with the applications of the theory of Dirichlet forms over IRd to quantum mechanics and statistical mechanics. Some models of singular interactions arising in the physics of ordered and disordered crystals and polymers are also discussed, as well as problems involving local times for d-dimensional Brownian motion.

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Authors and Affiliations

  1. Mathematisches Institut, Ruhr-Universität Bochum, 4630, Bochum 1, Germany

    Sergio Albeverio

  2. Matematisk Institutt, Universitetet i Oslo, Blindern, Oslo 3, Norway

    Raphael Høegh-Krohn

Authors
  1. Sergio Albeverio
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  2. Raphael Høegh-Krohn
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M. Fukushima

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© 1982 Springer-Verlag

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Albeverio, S., Høegh-Krohn, R. (1982). Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093038

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  • DOI: https://doi.org/10.1007/BFb0093038

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  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

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