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arXiv · math-ph/0402011

Ionization for Three Dimensional Time-dependent Point Interactions

M. Correggi·G. F. Dell'Antonio·R. Figari·A. Mantile
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Abstract

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 (α(t)) is a periodic function with an arbitrary mean. Under very weak conditions on the Fourier coefficients of (α(t)), we prove that there is complete ionization as (t \to \infty), 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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M. Correggi, G. F. Dell'Antonio, R. Figari, A. Mantile. 2004-05-11. Ionization for Three Dimensional Time-dependent Point Interactions. https://doi.org/10.1007/s00220-005-1293-x

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