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math-ph2000★ 47 cited
Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields
Pierre Duclos, Pavel Exner, Bernhard Meller
We discuss the Noeckel model of an open quantum dot, i.e., a straight hard-wall channel with a potential well. If this potential depends on the longitudinal variable only, there ar…
math-ph2000★ 11 cited
Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis
Pavel Exner, David Krejcirik
The paper is devoted to a model of a mesoscopic system consisting of a pair of parallel planar waveguides separated by an infinitely thin semitransparent boundary modeled by a tran…