dorsal/arxiv
View SchemaQuantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators
| Authors | B. Bahr, H. J. Korsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611116 |
| URL | https://arxiv.org/abs/quant-ph/0611116 |
| DOI | 10.1088/1751-8113/40/14/013 |
| Journal | J.Phys.A40:3959-3985,2007 |
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.
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"abstract": "We discuss some basic tools for an analysis of one-dimensionalquantum systems\ndefined on a cyclic coordinate space. The basic features of the generalized\ncoherent states, the complexifier coherent states are reviewed. These states\nare then used to define the corresponding (quasi)densities in phase space. The\nproperties of these generalized Husimi distributions are discussed, in\nparticular their zeros.Furthermore, the use of the complexifier coherent states\nfor a semiclassical analysis is demonstrated by deriving a semiclassical\ncoherent state propagator in phase space.",
"arxiv_id": "quant-ph/0611116",
"authors": [
"B. Bahr",
"H. J. Korsch"
],
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],
"doi": "10.1088/1751-8113/40/14/013",
"journal_ref": "J.Phys.A40:3959-3985,2007",
"title": "Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators",
"url": "https://arxiv.org/abs/quant-ph/0611116"
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