Total Absorption in Finite Time in an $iδ$ Potential

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dc.creatorMarchewka, A.
dc.creatorSchuss, Zeev
dc.date2001-07-30
dc.date.accessioned2026-07-07T06:02:30Z
dc.date.available2026-07-07T06:02:30Z
dc.descriptionWe consider the evolution of Green's function of the one-dimensional Schrödinger equation in the presence of the complex potential $-ikδ(x)$. Our result is the construction of an explicit time-dependent solution which we use to calculate the time-dependent survival probability of a quantum particle. The survival probability decays to zero in finite time, which means that the complex delta potential well is a total absorber for quantum particles. This potential can be interpreted as a killing measure with infinite killing rate concentrated at the origin.
dc.description8 pages, no figures, we would welcome comments
dc.identifierhttps://arxiv.org/abs/quant-ph/0107152
dc.identifierhttp://arxiv.org/abs/quant-ph/0107152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89626
dc.subjectQuantum Physics
dc.titleTotal Absorption in Finite Time in an $iδ$ Potential
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