Albeverio, Sergio; Kondratiev, Yuri; Pasurek, Tatiana; Röckner, Michael; Kondrat’ev, Yu. Euclidean Gibbs states of quantum crystal. (English) Zbl 0993.82006 Mosc. Math. J. 1, No. 3, 307-313 (2001). 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. Cited in 4 Documents MSC: 82B10 Quantum equilibrium statistical mechanics (general) Keywords:quantum crystals; euclidean Gibbs states; existence problem PDF BibTeX XML Cite \textit{S. Albeverio} et al., Mosc. Math. J. 1, No. 3, 307--313 (2001; Zbl 0993.82006)