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Moscow Mathematical Journal, 2001, Volume 1, Number 3, Pages 307–313
DOI: https://doi.org/10.17323/1609-4514-2001-1-3-307-313 (Mi mmj22) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Euclidean Gibbs states of quantum crystals

S. A. Albeverioab, Yu. G. Kondrat'evcb, T. Pasurek, M. Röcknerb

a University of Bonn, Institute for Applied Mathematics
b Bielefeld University
c Institute of Mathematics, Ukrainian National Academy of Sciences
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DOI: https://doi.org/10.17323/1609-4514-2001-1-3-307-313
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.
Received: July 9, 2001; in revised form August 25, 2001
Bibliographic databases:
MSC: 82B10
Language: English
Citation: S. A. Albeverio, Yu. G. Kondrat'ev, T. Pasurek, M. Röckner, “Euclidean Gibbs states of quantum crystals”, Mosc. Math. J., 1:3 (2001), 307–313
Citation in format AMSBIB
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\by S.~A.~Albeverio, Yu.~G.~Kondrat'ev, T.~Pasurek, M.~R\"ockner
\paper Euclidean Gibbs states of quantum crystals
\jour Mosc. Math.~J.
\yr 2001
\vol 1
\issue 3
\pages 307--313
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\crossref{https://doi.org/10.17323/1609-4514-2001-1-3-307-313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1877595}
\zmath{https://zbmath.org/?q=an:0993.82006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208587500001}
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