Ionization for Three Dimensional Time-dependent Point Interactions
arXiv:math-ph/0402011 · doi:10.1007/s00220-005-1293-x
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.
Some improvements and some references added, 26 pages, LaTeX