B Bahr and H J Korsch 2007 J. Phys. A: Math. Theor. 40 3959 doi:10.1088/1751-8113/40/14/013
Quantum mechanics on a circle: Husimi phase-space distributions and semiclassical coherent state propagators
B Bahr1 and H J Korsch2
Show affiliationsWe 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.
- PACS
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03.65.Vf Phases: geometric; dynamic or topological
- MSC
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81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
81Q20 Semiclassical techniques including WKB and Maslov methods
81S30 Phase space methods including Wigner distributions, etc.
- Subjects
- Dates
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Issue 14 (6 April 2007)
Received 10 November 2006, in final form 13 February 2007
Published 20 March 2007
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Quantum mechanics on a circle: Husimi phase-space distributions and semiclassical coherent state propagators
B Bahr and H J Korsch 2007 J. Phys. A: Math. Theor. 40 3959
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