Passive quasi-free states of the CAR algebra with discrete Hamiltonians

DOI10.2977/PRIMS/1195177846zbMath0614.46054OpenAlexW2011219631MaRDI QIDQ1820368

Charles J. K. Batty

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195177846

zbMATH Keywords

KMS conditionCAR algebraquasi-free states\(C^ *\)-algebraspectrally passivegauge-invariantone-particle HamiltonianConnes spectrumone-particle densitiespassive pair

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Cites Work

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• Passive quasi-free states of the noninteracting Fermi gas
• The KMS condition and passive states
• A spectral characterization of KMS states
• Derivations, dynamical systems, and spectral restrictions.

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