Existence and uniqueness of Gibbs states for a statistical mechanical polyacetylene model

DOI10.1007/BF01013376zbMath0684.46064OpenAlexW2014551915MaRDI QIDQ1825420

Yong Moon Park

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01013376

zbMATH Keywords

semiclassical approximationuniform estimatesKMS statesChoquet simplexDyson expansioninvariant vectorstrongly continuous time evolution group of unitary operatorsuniqueness of Gibbs statesany infinite- limit state satisfies Gibbs conditionsAraki's relative entropy methodinfinite-volume-limit Hilbert spaceOne-dimensional polyacetylenequantum XY model interacting with unbounded classical spins in one-dimensional lattice space

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Quantum field theory on lattices (81T25) Applications of selfadjoint operator algebras to physics (46L60) Convex sets in topological linear spaces; Choquet theory (46A55) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Unnamed Item
• On uniqueness of KmMS states of one-dimensional quantum lattice systems
• On uniqueness of KMS states of one-dimensional quantum lattice systems
• Existence and uniqueness of DLR measures for unbounded spin systems

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