Evaluation of the semiclassical coherent state propagator in the presence of phase space caustics
arXiv:0801.1593 · doi:10.1088/1742-6596/99/1/012016
Abstract
A uniform approximation for the coherent state propagator, valid in the vicinity of phase space caustics, was recently obtained using the Maslov method combined with a dual representation for coherent states. In this paper we review the derivation of this formula and apply it to two model systems: the one-dimensional quartic oscillator and a two-dimensional chaotic system.
15 pages, 3 figures
References in corpus (4)
- Semiclassical Propagation of Wavepackets with Real and Complex Trajectories
- Semiclassical propagation of coherent states using complex and real trajectories
- A Uniform Approximation for the Coherent State Propagator using a Conjugate Application of the Bargmann Representation
- Real trajectories in the semiclassical coherent state propagator