Artículos de revistas
Controlling phase space caustics in the semiclassical coherent state propagator
Registro en:
Annals Of Physics. Academic Press Inc Elsevier Science, v. 323, n. 3, n. 654, n. 672, 2008.
0003-4916
WOS:000254673400007
10.1016/j.aop.2007.04.008
Autor
Ribeiro, AD
de Aguiar, MAM
Institución
Resumen
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. 323 3 654 672