Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 257, Issue 1, Pages 169-192Publisher
SPRINGER
DOI: 10.1007/s00220-005-1293-x
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We study the time evolution of a three dimensional quantum particle under the action of a time-dependent point interaction fixed at the origin. We assume that the strength of the interaction alpha(t) is a periodic function with an arbitrary mean. Under very weak conditions on the Fourier coefficients of alpha(t), we prove that there is complete ionization as t --> infinity, starting from a bound state at time t = 0. Moreover we prove also that, under the same conditions, all the states of the system are scattering states.
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