Phase-spaces and dynamical descriptions of infinite mean-field quantum systems

DOI10.1063/1.528904zbMath0705.46043OpenAlexW2049189859MaRDI QIDQ3485470

T. Unnerstall

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528904

zbMATH Keywords

infinite mean-field quantum lattice systemsquasilocal \(C^ *\)-algebra

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Applications of functional analysis in statistical physics (46N55)

Related Items (6)

The limiting dynamics of an imperfect Bose gas ⋮ DECOHERENCE INDUCED TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS ⋮ Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ⋮ MACROSCOPIC OBSERVABLES AND THE BORN RULE, I: LONG RUN FREQUENCIES ⋮ Entanglement of classical and quantum short-range dynamics in mean-field systems ⋮ Limiting dynamics of generalized Bardeen–Cooper–Schrieffer models beyond the pair algebra

Cites Work

• Existence of the limiting mean field dynamics in general equilibrium representations
• Greens functions, Hamiltonians and modular automorphisms
• Transformations of states in operator theory and dynamics
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• Nets of \(C^*\)-algebras and classification of states
• Equilibrium states of a class of quantum mean-field theories
• Mathematical structures for long-range dynamics and symmetry breaking
• The dynamics of a class of quantum mean-field theories
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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