×

zbMATH — the first resource for mathematics

Euclidean Gibbs states of quantum crystal. (English) Zbl 0993.82006
Summary: 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.

MSC:
82B10 Quantum equilibrium statistical mechanics (general)
PDF BibTeX XML Cite