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 →∞, 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.
CORREGGI M, DELL'ANTONIO G, FIGARI R, & MANTILE A (2005). Ionization for Three Dimensional Time-Dependent Point Interactions. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 257, 169-192.
Titolo: | Ionization for Three Dimensional Time-Dependent Point Interactions |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Citazione: | CORREGGI M, DELL'ANTONIO G, FIGARI R, & MANTILE A (2005). Ionization for Three Dimensional Time-Dependent Point Interactions. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 257, 169-192. |
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 →∞, 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. |
Handle: | http://hdl.handle.net/11590/117412 |
Appare nelle tipologie: | 1.1 Articolo in rivista |