dorsal/arxiv
View SchemaSemiclassical coherent state propagator for systems with spin
| Authors | A. D. Ribeiro, M. A. M. de Aguiar, A. F. R. de Toledo Piza |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510023 |
| URL | https://arxiv.org/abs/quant-ph/0510023 |
| DOI | 10.1088/0305-4470/39/12/016 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) 3085-3097. |
Abstract
We derive the semiclassical limit of the coherent state propagator for systems with two degrees of freedom of which one degree of freedom is canonical and the other a spin. Systems in this category include those involving spin-orbit interactions and the Jaynes-Cummings model in which a single electromagnetic mode interacts with many independent two-level atoms. We construct a path integral representation for the propagator of such systems and derive its semiclassical limit. As special cases we consider separable systems, the limit of very large spins and the case of spin 1/2.
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"abstract": "We derive the semiclassical limit of the coherent state propagator for\nsystems with two degrees of freedom of which one degree of freedom is canonical\nand the other a spin. Systems in this category include those involving\nspin-orbit interactions and the Jaynes-Cummings model in which a single\nelectromagnetic mode interacts with many independent two-level atoms. We\nconstruct a path integral representation for the propagator of such systems and\nderive its semiclassical limit. As special cases we consider separable systems,\nthe limit of very large spins and the case of spin 1/2.",
"arxiv_id": "quant-ph/0510023",
"authors": [
"A. D. Ribeiro",
"M. A. M. de Aguiar",
"A. F. R. de Toledo Piza"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/12/016",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 3085-3097.",
"title": "Semiclassical coherent state propagator for systems with spin",
"url": "https://arxiv.org/abs/quant-ph/0510023"
},
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