title: Semiclassical description of wave packet revival.
abstract: We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-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 wave function 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.
authors.affiliation: Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil. toscano@if.ufrj.br
authors.forename: Fabricio
authors.initials: F
authors.lastname: Toscano
authors.forename: Raúl O
authors.initials: RO
authors.lastname: Vallejos
authors.forename: Diego
authors.initials: D
authors.lastname: Wisniacki
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011789:Quantum Theory