Séminaire de Physique ThéoriqueSemiclassical Description of Wavepacket Revival
Raul O. Vallejos (CBPF, Rio de Janeiro, Bresil)
Thursday 05 November 2009 14:00 - Tours - Salle 1180 (Bât E2)
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.