Communications in Mathematical Physics

, Volume 107, Issue 4, pp 553–560 | Cite as

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

  • A. Bach
  • U. Lüxmann-Ellinghaus


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.


Neural Network Statistical Physic Banach Space Complex System Hull 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • A. Bach
    • 1
  • U. Lüxmann-Ellinghaus
    • 2
  1. 1.Institut für Theoretische Physik IUniversität MünsterMünsterFederal Republic of Germany
  2. 2.Fachbereich MathematikUniversität DortmundDortmund 50Federal Republic of Germany

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