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Uniqueness for Gibbs measures of quantum lattices in small mass regime

✍ Scribed by Sergio Albeverio; Yuri Kondratiev; Yuri Kozitsky; Michael Röckner


Book ID
108422221
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
203 KB
Volume
37
Category
Article
ISSN
0246-0203

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Gibbs states of a quantum crystal: uniqu
✍ Sergio Albeverio; Yuri Kondratiev; Yuri Kozitsky; Michael Röckner 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 74 KB

A model of interacting quantum particles performing one-dimensional anharmonic oscillations around their unstable equilibrium positions, which form the lattice Z d , is considered. For this model, two statements describing its equilibrium properties are given. The first theorem states that there exi