Internal symmetries and limiting Gibbs states in quantum lattice mean- field theories

DOI10.1016/0378-4371(93)90474-IzbMath0799.60096OpenAlexW2048138661MaRDI QIDQ1330374

Thomas Gerisch

Publication date: 17 November 1994

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(93)90474-i

zbMATH Keywords

symmetry groupHaar measuremean-field modelsgroup of internal symmetrieslocal Gibbs equilibrium states

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Spontaneous symmetry breaking in quantum systems: emergence or reduction?

Cites Work

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• Schrödinger dynamics and physical folia of infinite mean-field quantum systems
• Calculation of the limiting Gibbs states for weakly coupled macroscopic quantum systems with application to the Josephson oscillator
• Existence of the limiting mean field dynamics in general equilibrium representations
• Continuity and relative Hamiltonians
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• On the equilibrium states in quantum statistical mechanics
• Equilibrium states of a class of quantum mean-field theories
• On the microscopic derivation of the finite-temperature Josephson relation in operator form
• The dynamics of a class of quantum mean-field theories
• Equilibrium states for mean field models
• MEAN-FIELD DYNAMICAL SEMIGROUPS ON C*-ALGEBRAS
• The Quantum Statistical Free Energy Minimum Principle for Multi-Lattice Mean Field Theories