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4 papers · 1 filter
Aharonov-Bohm Effect with --type Interaction
L. Dabrowski, P. Stovicek
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint exten…
Point interactions in a strip
P. Exner, R. Gawlista, P. Šeba +1
We study the behavior of a quantum particle confined to a hard--wall strip of a constant width in which there is a finite number of point perturbations. Constructing the reso…
Point interaction in dimension two and three as models of small scatterers
P. Exner, P. Šeba
In addition to the conventional renormalized--coupling--constant picture, point interactions in dimension two and three are shown to model within a suitable energy range scattering…
Bound states and scattering in quantum waveguides coupled laterally through a boundary window
P. Exner, P. Šeba, M. Tater +1
We consider a pair of parallel straight quantum waveguides coupled laterally through a window of a width in the common boundary. We show that such a system has at least on…