Equilibrium states of a class of quantum mean-field theories

DOI10.1063/1.528489zbMath0701.46057OpenAlexW2082856294MaRDI QIDQ3479046

Pavel Bóna

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528489

zbMATH Keywords

symmetry breakingexistence of equilibriumground states of infinite spin systems with the mean-field type interactionmodel of the Josephson junctionquasispin strong-coupling version of the BCS model of superconductivity

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (8)

Classical dynamics from self-consistency equations in quantum mechanics ⋮ Internal symmetries and limiting Gibbs states in quantum lattice mean- field theories ⋮ Robustness in quantum measurements ⋮ Structure, dynamics and spectroscopy of single molecules: A challenge to quantum mechanics ⋮ Phase-spaces and dynamical descriptions of infinite mean-field quantum systems ⋮ Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ⋮ Schrödinger dynamics and physical folia of infinite mean-field quantum systems ⋮ Entanglement of classical and quantum short-range dynamics in mean-field systems

Cites Work

• Statistical mechanics of quantum spin systems. II
• On the equilibrium states in quantum statistical mechanics
• A class of operator algebras which are determined by groups
• Mathematical structures for long-range dynamics and symmetry breaking
• The dynamics of a class of quantum mean-field theories
• Equilibrium states for mean field models
• An Algebraic Approach to Quantum Field Theory
• The mathematical structure of the bardeen-cooper-schrieffer model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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