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The simplex structure of the classical states of the quantum harmonic oscillator

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Abstract

It is shown that the convex set of classical states of the quantum harmonic oscillator is a simplex generated as the closed convex hull of the coherent states in the weak topology of the Banach space of trace class operators.

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Authors and Affiliations

  1. Institut für Theoretische Physik I, Universität Münster, D-4400, Münster, Federal Republic of Germany

    A. Bach

  2. Fachbereich Mathematik, Universität Dortmund, D-4600, Dortmund 50, Federal Republic of Germany

    U. Lüxmann-Ellinghaus

Authors
  1. A. Bach
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  2. U. Lüxmann-Ellinghaus
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Communicated by G. Parisi

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Bach, A., Lüxmann-Ellinghaus, U. The simplex structure of the classical states of the quantum harmonic oscillator. Commun.Math. Phys. 107, 553–560 (1986). https://doi.org/10.1007/BF01205485

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  • DOI: https://doi.org/10.1007/BF01205485

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