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Type: Artigo de periódico
Title: Controlling phase space caustics in the semiclassical coherent state propagator
Author: Ribeiro, AD
de Aguiar, MAM
Abstract: The semiclassical formula for the quantum propagator in the coherent state representation < z ''vertical bar e(-i (H) over barT/h)vertical bar z'> is not free from the problem of caustics. These are singular points along the complex classical trajectories specified by z', z '' and T where the usual quadratic approximation fails, leading to divergences in the semiclassical formula. In this paper, we derive third order approximations for this propagator that remain finite in the vicinity of caustics. We use Maslov's method and the dual representation proposed in Phys. Rev. Lett. 95, 050405 (2005) to derive uniform, regular and transitional semiclassical approximations for coherent state propagator in systems with two degrees of freedom. (C) 2007 Elsevier Inc. All rights reserved.
Subject: semiclassical methods
quantum chaos
coherent states
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.aop.2007.04.008
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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