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Bibliographic Details
Main Author: L. C. dos Santos
Format: Artículo científico
Language:en
Published: Sociedade Brasileira de Física 2005
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Online Access:https://www.redalyc.org/articulo.oa?id=46435114
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  • 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 Feynman’s 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