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A note on the non-commutative Laplace-Varadhan integral lemma
- 1.0357197 - FZÚ 2011 RIV SG eng J - Journal Article
De Roeck, V. - Maes, C. - Netočný, Karel - Rey-Bellet, L.
A note on the non-commutative Laplace-Varadhan integral lemma.
Reviews in Mathematical Physics. 22, č. 7 (2010), s. 839-858. ISSN 0129-055X. E-ISSN 1793-6659
R&D Projects: GA ČR GC202/07/J051
Institutional research plan: CEZ:AV0Z10100520
Keywords : quantum large deviations * quantum lattice systems * Laplace–Varadhan lemma
Subject RIV: BE - Theoretical Physics
Impact factor: 1.290, year: 2010
http://www.worldscinet.com/rmp/22/2207/S0129055X10004089.html
We propose and rigorously prove a variational formula for the free energy of quantum spin lattice systems where the spin interaction consists of both local and mean-field components. It provides a non-commutative extension of the Laplace-Varadhan asymptotic formula.
Permanent Link: http://hdl.handle.net/11104/0195524
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