On the complete ionization of a periodically perturbed quantum system

2000/02/02 by O. Costin, J. L. Lebowitz, Costin, O. +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0002003

14 pages in a LaTeX file, including 1 figure in a ps file, [email protected], [email protected], [email protected]

arxiv created 2000/02/02 · arxiv updated 2009/11/30

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.

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