Article ID Journal Published Year Pages File Type
1856273 Annals of Physics 2008 19 Pages PDF
Abstract
The semiclassical formula for the quantum propagator in the coherent state representation 〈z″|e-iHˆT/ℏ|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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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