Leaky quantum wire and dots: a resonance model

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dc.creatorExner, Pavel
dc.creatorKondej, Sylwia
dc.date2003-07-15
dc.date.accessioned2026-07-07T04:30:22Z
dc.date.available2026-07-07T04:30:22Z
dc.descriptionWe discuss a model of a leaky quantum wire and a family of quantum dots described by Laplacian in $L^2(\mathbb{R}^2)$ with an attractive singular perturbation supported by a line and a finite number of points. The discrete spectrum is shown to be nonempty, and furthermore, the resonance problem can be explicitly solved in this setting; by Birman-Schwinger method it is reformulated into a Friedrichs-type model.
dc.descriptionLatex2e, 10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0307030
dc.identifierhttp://arxiv.org/abs/math-ph/0307030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57442
dc.subjectMathematical Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSpectral Theory
dc.subjectQuantum Physics
dc.subject81V99
dc.titleLeaky quantum wire and dots: a resonance model
dc.typetext

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