Gibbs states on loop lattices: existence and a priori estimates (Q2778348)
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scientific article; zbMATH DE number 1719877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gibbs states on loop lattices: existence and a priori estimates |
scientific article; zbMATH DE number 1719877 |
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Gibbs states on loop lattices: existence and a priori estimates (English)
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20 May 2002
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Gibbs states
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quantum lattice
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unbounded spins
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The authors present a proof of existence and uniform a priori estimates for Euclidean Gibbs states of the quantum lattice of anharmonic oscillators with unbounded spins. The results extend all previous existence results, in particular, for Euclidean Gibbs states for quantum crystals, and the case of super-quadratic growth of the interaction potentials.
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