%0 Journal Article
%J Comm. Math. Phys. 257 (2005) 169-192
%D 2005
%T Ionization for Three Dimensional Time-dependent Point Interactions
%A Michele Correggi
%A Gianfausto Dell'Antonio
%A Rodolfo Figari
%A Andrea Mantile
%X 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 \\\\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.
%B Comm. Math. Phys. 257 (2005) 169-192
%G en_US
%U http://hdl.handle.net/1963/2297
%1 1719
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-25T08:14:45Z\\nNo. of bitstreams: 1\\n0402011v2.pdf: 306766 bytes, checksum: 7efb2bcceb4c2699d662ae1af9e7dd76 (MD5)
%R 10.1007/s00220-005-1293-x