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Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations

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Abstract

We analyse macroscopic fluctuations of an infinite quantum system and introduce the CCR-C*-algebra of normal fluctuations. A non-commutative central limit theorem for mixing quantum systems is proved.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030, Leuven, Belgium

    D. Goderis & P. Vets

  2. Onderzoeker IIKW, Belgium

    D. Goderis & P. Vets

Authors
  1. D. Goderis
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  2. P. Vets
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Communicated by H. Araki

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Goderis, D., Vets, P. Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations. Commun.Math. Phys. 122, 249–265 (1989). https://doi.org/10.1007/BF01257415

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  • DOI: https://doi.org/10.1007/BF01257415

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