A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit

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dc.creatorSantos, Luis C. dos
dc.creatorde Aguiar, M. A. M.
dc.date2004-12-10
dc.date.accessioned2026-07-07T06:11:44Z
dc.date.available2026-07-07T06:11:44Z
dc.descriptionThe 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.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0412080
dc.identifierhttp://arxiv.org/abs/quant-ph/0412080
dc.identifierBraz. J. Phys. 35 (2005) 175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92577
dc.subjectQuantum Physics
dc.titleA New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
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