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A quantum crystal with multidimensional anharmonic oscillators

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Publication:1809673
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DOI10.1023/A:1004588002407zbMath0958.82004MaRDI QIDQ1809673

William G. Faris, Robert Adol'fovich Minlos

Publication date: 25 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

quantum anharmonic crystalground statecluster expansionanharmonic oscillatorsultracontractive semigrouppath integral representation


Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


Related Items (5)

Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Existence and a priori estimates for Euclidean Gibbs states ⋮ The one-particle energy spectrum of weakly coupled quantum rotators ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential




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