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On a class of equilibrium states under the Kubo-Martin-Schwinger condition

II. Bosons

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Abstract

We study equilibrium states of a quantum Bose gas using Kubo-Martin-Schwinger boundary conditions, for a special class of time evolutions, namely the quasi-free evolutions. Under suitable restrictions, in particular positivity of the elementary excitation spectrum, we are able to describe the states fulfilling the Kubo-Martin-Schwinger conditions. In contrast to the Fermi case the solution is, in general, not unique; this is related to a possible Bose condensation.

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Author notes

  1. F. Rocca

    Present address: Laboratoire de Physique Théorique, Faculté des Sciences Parc Valrose, F-06, Nice, France

Authors and Affiliations

  1. Centre de Physique Théorique, C.N.R.S., Marseille

    F. Rocca, M. Sirugue & D. Testard

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  1. F. Rocca
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  2. M. Sirugue
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  3. D. Testard
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Attaché de Recherche, C.N.R.S.

This work is a part of a «Thèse de Doctorat d'Etat» presented to the «Faculté des Sciences de Marseille», under the number A.O. 3680.

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Rocca, F., Sirugue, M. & Testard, D. On a class of equilibrium states under the Kubo-Martin-Schwinger condition. Commun.Math. Phys. 19, 119–141 (1970). https://doi.org/10.1007/BF01646630

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  • DOI: https://doi.org/10.1007/BF01646630

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