Ionization of a Model Atom: Exact Results and Connection with Experiment

dc.creatorCostin, Ovidiu
dc.creatorLebowitz, Joel L.
dc.creatorRokhlenko, Alexander
dc.date1999-05-18
dc.date.accessioned2026-07-07T05:56:59Z
dc.date.available2026-07-07T05:56:59Z
dc.descriptionWe prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $ω$. The survival probability is for small $r$ given by $e^{-Γt}$ for times of order $Γ^{-1} \sim r^{-2n}$, where $n$ is the number of ``photons'' required for ionization, with enhanced stability at resonances. For late times the decay is like $t^{-3}$. Results are for a 1d system with a delta function potential of strength $-g(1 + η(t))$ but comparison with experiments on the microwave ionization of excited hydrogen atoms and with recent analytical work indicate that many features are universal.
dc.identifierhttps://arxiv.org/abs/physics/9905038
dc.identifierhttp://arxiv.org/abs/physics/9905038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87822
dc.subjectAtomic Physics
dc.subjectMathematical Physics
dc.titleIonization of a Model Atom: Exact Results and Connection with Experiment
dc.typetext

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