S. A. Albeverio, Yu. G. Kondrat'ev, T. Pasurek, M. Röckner, “Euclidean Gibbs states of quantum crystals”, Mosc. Math. J., 2001, Volume 1, Number 3,Pages <nobr>307

This article is cited in 11 papers

Euclidean Gibbs states of quantum crystals

S. A. Albeverio^ab, Yu. G. Kondrat'ev^cb, T. Pasurek, M. Röckner^b

^a University of Bonn, Institute for Applied Mathematics
^b Bielefeld University
^c Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: We prove existence and uniform a priori estimates for Euclidean Gibbs states corresponding to quantum anharmonic crystals. Our method is based on a characterization of Gibbs measures in terms of their Radon–Nikodym derivatives with respect to local shifts of the configuration space and corresponding integration by parts formulas.

Key words and phrases: Quantum crystals, Euclidean Gibbs states, existence problem.

MSC: 82B10

Received: July 9, 2001; in revised form August 25, 2001

Language: English

DOI: 10.17323/1609-4514-2001-1-3-307-313