WKB Propagation of Gaussian Wavepackets

Details WKB Propagation of Gaussian Wavepackets WKB Propagation of Gaussian Wavepackets

2007-07-17

arxiv.org/abs/0707.2423v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures; significant improvements

Scientific paper

10.1103/PhysRevLett.100.184102

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.

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