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 ℋ, satisfying the KMS-condition. An operator representation of these functions is given on a particular Hilbert space
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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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Communicated by J. L. Lebowitz
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Naudts, J., Verbeure, A. & Weder, R. Linear response theory and the KMS condition. Commun.Math. Phys. 44, 87–99 (1975). https://doi.org/10.1007/BF01609060
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DOI: https://doi.org/10.1007/BF01609060