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Quantum gibbs states and the zeroth law of thermodynamics

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Quantum Probability and Applications II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1136))

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Abstract

We show, without the use of ad hoc hypotheses and employing only elementary mathematical techniques, that an equilibrium state of a spatially confined quantum system is described by the Gibbs canonical ensemble, under a stability assumption which amounts essentially to the zeroth law of thermodynamics.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Sezione Fisica Teorica, Università di Milano, Milano, Italy

    Vittorio Gorini, Alberto Frigerio & Maurizio Verri

  2. INFN, Sezione di Milano, Italy

    Vittorio Gorini & Alberto Frigerio

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Maurizio Verri

Authors
  1. Vittorio Gorini
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  2. Alberto Frigerio
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  3. Maurizio Verri
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Editor information

Luigi Accardi Wilhelm von Waldenfels

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© 1985 Springer-Verlag

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Gorini, V., Frigerio, A., Verri, M. (1985). Quantum gibbs states and the zeroth law of thermodynamics. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications II. Lecture Notes in Mathematics, vol 1136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074476

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  • DOI: https://doi.org/10.1007/BFb0074476

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15661-1

  • Online ISBN: 978-3-540-39570-6

  • eBook Packages: Springer Book Archive

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