Ionization for Three Dimensional Time-dependent Point Interactions

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dc.creatorCorreggi, M.
dc.creatorDell'Antonio, G. F.
dc.creatorFigari, R.
dc.creatorMantile, A.
dc.date2004-02-05
dc.date2004-05-11
dc.date.accessioned2026-07-07T06:22:36Z
dc.date.available2026-07-07T06:22:36Z
dc.descriptionWe 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 \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.
dc.descriptionSome improvements and some references added, 26 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0402011
dc.identifierhttp://arxiv.org/abs/math-ph/0402011
dc.identifierCommun. Math. Phys. 257 N.1, 169-192, 2005
dc.identifierdoi:10.1007/s00220-005-1293-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95957
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleIonization for Three Dimensional Time-dependent Point Interactions
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