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Small-Mass Behavior of Quantum Gibbs States for Lattice Models with Unbounded Spins |
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| Authors: | S. Albeverio Yu. G. Kondratiev R. A. Minlos A. L. Rebenko |
| Affiliation: | (1) Institut für Angewandte Mathematik, Universität Bonn, D 53115 Bonn, Germany and;(2) Fakultät für Mathematik, Ruhr-Universität, D 44780 Bochum, Germany;(3) BiBoS Research Center, D 33615 Bielefeld, Germany, and;(4) Institute of Mathematics, 252601 Kiev, Ukraine;(5) Institute of Information Transmission Problems, Moscow, Russia;(6) Institute of Mathematics, 252601 Kiev, Ukraine |
| 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. |
| Keywords: | Quantum Gibbs state lattice model unbounded spin small mass cluster expansion |
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