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Type: Artigo de periódico
Title: A new form of path integral for the coherent states representation and its semiclassical limit
Author: Santos, L. C. dos
Aguiar, M. A. M. de
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 [1] for the two corresponding path integral forms suggested by Klauder and Skagerstan in [2]. 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.
Editor: Sociedade Brasileira de Física
Rights: aberto
Identifier DOI: 10.1590/S0103-97332005000100015
Date Issue: 1-Mar-2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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