03-329 Pavel Exner and Sylwia Kondej
Leaky quantum wire and dots: a resonance model (36K, LaTeX) Jul 15, 03
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We 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.

Files: 03-329.tex