Titlebook: Operator Algebras and Quantum Statistical Mechanics; Equilibrium States. Ola Bratteli,Derek W. Robinson Book 1997Latest edition Springer-V

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https://doi.org/10.1007/978-3-662-03444-6Algebra; Algebras; Bose-Einstein condensation; Operator; Operatoralgebra; Physik; Quantenmechanik; Quantens

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Operator Algebras and Quantum Statistical Mechanics978-3-662-03444-6Series ISSN 1864-5879 Series E-ISSN 1864-5887

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Introductionze the structural properties of the equilibrium states of quantum systems consisting of a large number of particles. In Chapter 1 we argued that this leads to the study of states of infinite-particle systems as an in it ial approximation. There are two approaches to this study which are to a large e

GLIB

Continuous Quantum Systems. Ihysical. One begins with the Hilbert space of vector states of the particles and subsequently introduces algebras of operators corresponding to certain particle observables. The second approach is more abstract and consists of postulating certain structural features of a .*-algebra of observables an

Synchronism

KMS-Statesibrium states. Now we discontinue this specific analysis and describe instead various general characterizations of equilibrium phenomena. Principally, we investigate the Kubo—Martin—Schwinger, or KMS, condition briefly outlined in the Introduction and used in the calculation of the Gibbs states of t