O. Costin (costin@math.rutgers.edu), J. L. Lebowitz, (lebowitz@sakharov.rutgers.edu), A. Rokhlenko, (rokhlenk@math.rutgers.edu)
On the complete ionization of a periodically perturbed
quantum system
(46K, latex with 1 figure in a ps file)
ABSTRACT. We analyze the time evolution of a one-dimensional quantum system with
zero range potential under time periodic parametric perturbation of
arbitrary strength and frequency. We show that the projection of the
wave function on the bound state vanishes, i.e. the system gets fully
ionized, as time grows indefinitely.