A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876434784746471424 |
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| author | L. C. dos Santos |
| author_facet | L. C. dos Santos |
| contents | A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit L. C. dos Santos M. A. M. de Aguiar Física, Astronomía y Matemáticas The overcompleteness of the coherent states basis leads to a multiplicity of representations of Feynmans pathintegral. These different representations, although equivalent quantum mechanically, lead to different semiclassicallimits. Two such semiclassical formulas were derived in [1] for the two corresponding path integral formssuggested by Klauder and Skagerstan in [2]. Each of these formulas involve trajectories governed by a differentclassical representation of the Hamiltonian operator: the P representation in one case and the Q representationin other. In this paper we construct a third representation of the path integral whose semiclassical limit involvesdirectly the Weyl representation of the Hamiltonian operator, i.e., the classical Hamiltonian itself. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435114 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35 |
| format | Artículo científico |
| id | redalyc_46435114 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit L. C. dos Santos Física, Astronomía y Matemáticas A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit L. C. dos Santos M. A. M. de Aguiar Física, Astronomía y Matemáticas The overcompleteness of the coherent states basis leads to a multiplicity of representations of Feynmans pathintegral. These different representations, although equivalent quantum mechanically, lead to different semiclassicallimits. Two such semiclassical formulas were derived in [1] for the two corresponding path integral formssuggested by Klauder and Skagerstan in [2]. Each of these formulas involve trajectories governed by a differentclassical representation of the Hamiltonian operator: the P representation in one case and the Q representationin other. In this paper we construct a third representation of the path integral whose semiclassical limit involvesdirectly the Weyl representation of the Hamiltonian operator, i.e., the classical Hamiltonian itself. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435114 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35 |
| title | A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435114 |