arXiv:quant-ph/0611116 · Journal of Physics A Mathematical and Theoretical

Quantum mechanics on a circle: Husimi phase-space distributions and semiclassical coherent state propagators

B Bahr, H J Korsch

Published Mar 20, 2007• 10 citations

Abstract

We discuss some basic tools for an analysis of one-dimensional quantum systems defined on a cyclic coordinate space. The basic features of the generalized coherent states, the complexifier coherent states, are reviewed. These states are then used to define the corresponding (quasi)densities in phase space. The properties of these generalized Husimi distributions are discussed, in particular their zeros. Furthermore, the use of the complexifier coherent states for a semiclassical analysis is demonstrated by deriving a semiclassical coherent state propagator in phase space.

DOI: 10.1088/1751-8113/40/14/013

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