Quantum statistical mechanics for superstable interactions: Bose-Einstein statistics

DOI10.1007/BF01010537zbMath0629.46065OpenAlexW2060767884MaRDI QIDQ1093864

Yong Moon Park

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01010537

zbMATH Keywords

Green's functionBose-Einstein statisticsexistence of the pressureindependence of boundary conditionsinfinite volume limit Hilbert spaceinfinite volume limit stateslocally normal statesmodular statesquantum systems of interacting Bose particlesstrongly continuous time evolution group of unitary operatorssuperstable interactionuniform bounds on the expectations of exponentials of local number operatorsWiener integral formalism

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

A characterization of Gibbs states of lattice boson systems ⋮ Dynamical entropy of quasi-local algebras in quantum statistical mechanics ⋮ Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states ⋮ On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction ⋮ Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems. ⋮ Gentle perturbations of the free Bose gas. I.

Cites Work

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• Bounds on exponentials of local number operators in quantum statistical mechanics
• The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
• Existence of Green's functions for dilute Bose gases
• Superstable interactions in classical statistical mechanics
• Generalized zeta-functions for Axiom 𝐴 basic sets

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