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. © Springer-Verlag 2005.

Ionization for three dimensional time-dependent point interactions

Correggi M.;
2005-01-01

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. © Springer-Verlag 2005.
File in questo prodotto:
File Dimensione Formato  
Ionization 3D Point Interaction (CDFM).pdf

Accesso riservato

: Publisher’s version
Dimensione 251.63 kB
Formato Adobe PDF
251.63 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1134395
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 18
social impact