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Decay of a bound state under a time-periodic perturbation: a toy case

TitleDecay of a bound state under a time-periodic perturbation: a toy case
Publication TypeJournal Article
Year of Publication2005
AuthorsCorreggi, M, Dell'Antonio, G
JournalJ. Phys. A 38 (2005) 4769-4781
Abstract

We 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\\\'\\\' (\\\\alpha(t)). Under very weak generic conditions on the Fourier coefficients of (\\\\alpha(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.

URLhttp://hdl.handle.net/1963/2298
DOI10.1088/0305-4470/38/22/002

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