Integrals in the coherent state representation / Integrais de trajetoria na representação de estados coerentes

AUTOR(ES)

Luis Coelho dos Santos

DATA DE PUBLICAÇÃO

2008

RESUMO

The overcompleteness of the coherent states basis gives rise to a multiplicity of representations of Feynman?s path integral. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. Baranger et al derived the semiclassical limit of two path integral forms suggested by Klauder and Skagerstam. 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 the other one. In this thesis we construct two other representations of the path integral whose semiclassical limit involves directly the Weyl representation of the Hamiltonian operator, i.e., the classical Hamiltonian itself. We show that, in the semiclassical limit, the dynamics in the Weyl representation is independent of the coherent states width and that the propagator is also free from the phase corrections found in all the other cases. Besides, we obtain an explicit connection between the Weyl and the Husimi phase space representations of quantum mechanics

ASSUNTO(S)

limite semiclassico semiclassical limit path integrals weyl symbol simbolo de weyl integrais de trajetorias coherent states estados coerentes

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