TY - JOUR
T1 - Ionization for Three Dimensional Time-dependent Point Interactions
JF - Comm. Math. Phys. 257 (2005) 169-192
Y1 - 2005
A1 - Michele Correggi
A1 - Gianfausto Dell'Antonio
A1 - Rodolfo Figari
A1 - Andrea Mantile
AB - 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.
UR - http://hdl.handle.net/1963/2297
U1 - 1719
U2 - Mathematics
U3 - Mathematical Physics
ER -