WKB Propagation of Gaussian Wavepackets
Chaotic Dynamics
2009-11-13 v2
Abstract
We analyze the semiclassical evolution of Gaussian wavepackets in chaotic systems. We prove that after some short time a Gaussian wavepacket becomes a primitive WKB state. From then on, the state can be propagated using the standard TDWKB scheme. Complex trajectories are not necessary to account for the long-time propagation. The Wigner function of the evolving state develops the structure of a classical filament plus quantum oscillations, with phase and amplitude being determined by geometric properties of a classical manifold.
Cite
@article{arxiv.0707.2423,
title = {WKB Propagation of Gaussian Wavepackets},
author = {Raphael N. P. Maia and Fernando Nicacio and Raul O. Vallejos and Fabricio Toscano},
journal= {arXiv preprint arXiv:0707.2423},
year = {2009}
}
Comments
4 pages, 4 figures; significant improvements