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Small-Mass Behavior of Quantum Gibbs States for Lattice Models with Unbounded Spins

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Abstract

We construct the distribution of the infinite-dimensional Markov process associated with a finite-temperature Gibbs state for a quantum mechanical anharmonic crystal. The corresponding state is constructed via a cluster expansion technique for an arbitrary fixed temperature and, correspondingly, small enough masses of particles.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, D 53115, Bonn, Germany and

    S. Albeverio

  2. Fakultät für Mathematik, Ruhr-Universität, D 44780, Bochum, Germany

    S. Albeverio

  3. BiBoS Research Center, D 33615, Bielefeld, Germany, and

    Yu. G. Kondratiev

  4. Institute of Mathematics, 252601, Kiev, Ukraine

    Yu. G. Kondratiev

  5. Institute of Information Transmission Problems, Moscow, Russia

    R. A. Minlos

  6. Institute of Mathematics, 252601, Kiev, Ukraine

    A. L. Rebenko

Authors
  1. S. Albeverio
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  2. Yu. G. Kondratiev
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  3. R. A. Minlos
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  4. A. L. Rebenko
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Albeverio, S., Kondratiev, Y.G., Minlos, R.A. et al. Small-Mass Behavior of Quantum Gibbs States for Lattice Models with Unbounded Spins. Journal of Statistical Physics 92, 1153–1172 (1998). https://doi.org/10.1023/A:1023009130254

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  • DOI: https://doi.org/10.1023/A:1023009130254

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