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

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

2006-11-10

arxiv.org/abs/quant-ph/0611116v2

J.Phys.A40:3959-3985,2007

Physics

Quantum Physics

29 pages

Scientific paper

10.1088/1751-8113/40/14/013

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.

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