The dynamics of a class of quantum mean-field theories
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Publication:3810371
DOI10.1063/1.528152zbMath0661.46065OpenAlexW2070479538MaRDI QIDQ3810371
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528152
Lie algebraPoisson flowconnected Lie groupquasilocal observablesautomorphism group of a \(C^*\)-algebraquasispin BCS modelsuperconductivity in the strong coupling limit
Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)
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Cites Work
- On field theories with degenerate ground states
- Existence of the limiting mean field dynamics in general equilibrium representations
- Unbounded derivations of \(C^*\)-algebras II
- Greens functions, Hamiltonians and modular automorphisms
- State of physical systems
- Spin waves and the BCS model
- On the microscopic derivation of the finite-temperature Josephson relation in operator form
- Mathematical structures for long-range dynamics and symmetry breaking
- Equilibrium states for mean field models
- An Algebraic Approach to Quantum Field Theory
- Time Translations in the Algebraic Formulation of Statistical Mechanics
- The mathematical structure of the bardeen-cooper-schrieffer model
