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Quantum Fluctuations and Linear Response Theory

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Instabilities and Nonequilibrium Structures III

Part of the book series: Mathematics and Its Applications ((MAIA,volume 64))

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Abstract

In this lecture we focus on the mathematical characterization of fluctuations for the local observables in a quantum system. We apply the results to a model for which we prove that the linear response theory of Kubo [1,2] becomes exact.

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Reference

  1. R. Kubo; J. Phys. Soc. Japan 12, 570 (1957).

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  2. R. Kubo, M. Toda, N. Hashitsume; Statistical Physics II, Nonequilibrium Statistical Mechanics; Springer-Verlag 1985.

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  3. O. Bratteli, D.W. Robinson; Operator Algebras and Quantum Statistical Mechanics I,11, Springer-Verlag, N.Y. 1979/1981.

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  4. D. Goderis, A. Verbeure, P. Vets;Prob. Th. Re1. Fields 82, 527 (1989).

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  5. D. Goderis, A. Verbeure, P. Vets; Dynamics of Fluctuations for Quantum Lattice Systems; Preprint KUL-TF 89/6; to appear in Comm. Math. Phys.

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  6. D. Goderis, A. Verbeure, P. Vets; About the exactness of the Linear Response Theory, Preprint KUL-TF 89/34.

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  7. O.E. Lanford, D. Ruelle; Comm. Math. Phys.13194 (1969).

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  8. S.N. Bernstein;Math. Ann. 97, 1 (1926).

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Author information

Authors and Affiliations

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

    A. Verbeure

Authors
  1. A. Verbeure
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Editor information

Editors and Affiliations

  1. Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    E. Tirapegui

  2. Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    W. Zeller

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© 1991 Springer Science+Business Media Dordrecht

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Verbeure, A. (1991). Quantum Fluctuations and Linear Response Theory. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_7

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  • DOI: https://doi.org/10.1007/978-94-011-3442-2_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5522-2

  • Online ISBN: 978-94-011-3442-2

  • eBook Packages: Springer Book Archive

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