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Journal Article

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

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Bahr,  Benjamin
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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a7_14_013.pdf
(Publisher version), 321KB

0611116v2.pdf
(Preprint), 338KB

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Citation

Bahr, B., & Korsch, H. (2007). Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators. Journal of Physics A, 40, 3959-3985. Retrieved from http://www.iop.org/EJ/abstract/1751-8121/40/14/013.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4977-A
Abstract
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.