Dynamics of mean-field spin models from basic results in abstract differential equations

DOI10.1007/BF01055705zbMath0892.58090MaRDI QIDQ1203315

Fabio Bagarello, Giovanni Morchio

Publication date: 27 October 1993

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

zbMATH Keywords

differential equations in \(C^*\) and von Neumann algebrasdynamics of systems with long-range interactionsdynamics out of equilibriumgeneralized Goldstone's theoreminfinite-volume limitKMS condition and long-range interactionsmean-field spin modelsspontaneous symmetric breaking

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

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Cites Work

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• Schrödinger dynamics and physical folia of infinite mean-field quantum systems
• \(W^*\)-dynamics of infinite quantum systems
• Greens functions, Hamiltonians and modular automorphisms
• Statistical mechanics of quantum spin systems. II
• On the mathematical structure of the B.C.S.-model
• Nets of \(C^*\)-algebras and classification of states
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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