Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case

Simple item page
dc.creatorCorreggi, Michele
dc.creatorDell'Antonio, Gianfausto
dc.date2004-08-02
dc.date2004-10-12
dc.date.accessioned2026-07-07T04:31:22Z
dc.date.available2026-07-07T04:31:22Z
dc.descriptionWe study the time evolution of a three dimensional quantum particle, initially in a bound state, under the action of a time-periodic zero range interaction with ``strength'' (α(t)). Under very weak generic conditions on the Fourier coefficients of (α(t)), we prove complete ionization as (t \to \infty). We prove also that, under the same conditions, all the states of the system are scattering states.
dc.descriptionLaTeX2e, 15 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0408003
dc.identifierhttp://arxiv.org/abs/math-ph/0408003
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 4769-4781
dc.identifierdoi:10.1088/0305-4470/38/22/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57791
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleDecay of a Bound State under a Time-Periodic Perturbation: a Toy Case
dc.typetext

Files

Collections

arXiv