Semiclassical Description of Wavepacket Revival

Details Semiclassical Description of Wavepacket Revival Semiclassical Description of Wavepacket Revival

2009-07-07

arxiv.org/abs/0907.1220v1

Phys. Rev. E 80, 04621 (2009)

Physics

Quantum Physics

10 pages, 6 figures

Scientific paper

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wavepackets --a long time phenomena-- in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wavefunction up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.

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