The limiting dynamics of an imperfect Bose gas

DOI10.1063/1.530344zbMath0797.46056OpenAlexW1996080352MaRDI QIDQ4276752

Jochen Hertle

Publication date: 7 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530344

zbMATH Keywords

thermodynamic limitcondensationSchrödinger pictureimperfect Bose gasmassive particlesfar from equilibriumGNS representationHeisenberg dynamicslimiting dynamicsgroup of affine transformationsclassical nonlinear equation of motionfolia of physical stateslong-range pair potential in a mean-field approximationoperator algebraic quantum theory

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Schrödinger dynamics and physical folia of infinite mean-field quantum systems
• A perturbed mean field model of an interacting Boson gas and the large deviation principle
• The general form of non-Fock coherent boson states
• The large deviation principle and some models of an interacting boson gas
• The smallest C\(^*\)-algebra for canonical commutation relations
• Transformations of states in operator theory and dynamics
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• On the equilibrium states in quantum statistical mechanics
• Nets of \(C^*\)-algebras and classification of states
• Phase-spaces and dynamical descriptions of infinite mean-field quantum systems
• Mathematical structures for long-range dynamics and symmetry breaking
• The dynamics of a class of quantum mean-field theories
• Decomposition of Positive Sesquilinear Forms and the Central Decomposition of Gauge-Invariant Quasi-Free States on the Weyl-Algebra
• An Algebraic Approach to Quantum Field Theory
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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