Linear response theory and the KMS condition |
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Authors: | J. Naudts A. Verbeure R. Weder |
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Affiliation: | 1. University of Antwerpen, Antwerpen, Belgium 2. University of Leuven, Heverlee, Belgium 4. Onderzoeker IIKW, Belgium
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Abstract: | The response, relaxation and correlation functions are defined for any vector state ε of a von Neumann algebra (mathfrak{M}) , acting on a Hilbert space ?, satisfying the KMS-condition. An operator representation of these functions is given on a particular Hilbert space . With this technique we prove the existence of the static admittance and the relaxation function. Finally we generalize the fluctuation-dissipation theorem and other relations between the above mentionned functions to infinite systems. |
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