dorsal/arxiv
View SchemaA New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
| Authors | Luis C. dos Santos, M. A. M. de Aguiar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412080 |
| URL | https://arxiv.org/abs/quant-ph/0412080 |
| Journal | Braz. J. Phys. 35 (2005) 175 |
Abstract
The overcompleteness of the coherent states basis leads to a multiplicity of representations of Feynman's path integral. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. Two such semiclassical formulas were derived in \cite{Bar01} for the two corresponding path integral forms suggested by Klauder and Skagerstan in \cite{Klau85}. Each of these formulas involve trajectories governed by a different classical representation of the Hamiltonian operator: the P representation in one case and the Q representation in other. In this paper we construct a third representation of the path integral whose semiclassical limit involves directly the Weyl representation of the Hamiltonian operator, i.e., the classical Hamiltonian itself.
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"abstract": "The overcompleteness of the coherent states basis leads to a multiplicity of\nrepresentations of Feynman\u0027s path integral. These different representations,\nalthough equivalent quantum mechanically, lead to different semiclassical\nlimits. Two such semiclassical formulas were derived in \\cite{Bar01} for the\ntwo corresponding path integral forms suggested by Klauder and Skagerstan in\n\\cite{Klau85}. Each of these formulas involve trajectories governed by a\ndifferent classical representation of the Hamiltonian operator: the P\nrepresentation in one case and the Q representation in other. In this paper we\nconstruct a third representation of the path integral whose semiclassical limit\ninvolves directly the Weyl representation of the Hamiltonian operator, i.e.,\nthe classical Hamiltonian itself.",
"arxiv_id": "quant-ph/0412080",
"authors": [
"Luis C. dos Santos",
"M. A. M. de Aguiar"
],
"categories": [
"quant-ph"
],
"journal_ref": "Braz. J. Phys. 35 (2005) 175",
"title": "A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit",
"url": "https://arxiv.org/abs/quant-ph/0412080"
},
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