The simplex structure of the classical states of the quantum harmonic oscillator |
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| Authors: | Bach A Lüxmann-Ellinghaus U |
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| Institution: | (1) Institut für Theoretische Physik I, Universität Münster, D-4400 Münster, Federal Republic of Germany;(2) Fachbereich Mathematik, Universität Dortmund, D-4600 Dortmund 50, Federal Republic of Germany |
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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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