On the complete ionization of a periodically perturbed quantum system

Details On the complete ionization of a periodically perturbed quantum system On the complete ionization of a periodically perturbed quantum system

2000-02-02

arxiv.org/abs/math-ph/0002003v1

Physics

Mathematical Physics

14 pages in a LaTeX file, including 1 figure in a ps file, costin@math.rutgers.edu, lebowitz@sakharov.rutgers.edu, rokhlenk@

Scientific paper

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.

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