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arXiv:0712.1724 · Physical Review A

Coherent states for the quantum mechanics on a torus

K. Kowalski, Jakub Rembieliński

Published May 7, 2007• 15 citations
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Abstract

The coherent states for the quantum mechanics on a torus and their basic properties are discussed.
DOI
10.1103/physreva.75.052102

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We discuss some basic tools for an analysis of one-dimensionalquantum 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.