181 citations · 3.2k across the 184 of their papers we have counts for
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Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
Pavel Exner, Pavel Stovicek, Petr Vytras
The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic fie…
Bound states in point-interaction star-graphs
Pavel Exner, Katerina Nemcova
We discuss the discrete spectrum of the Hamiltonian describing a two-dimensional quantum particle interacting with an infinite family of point interactions. We suppose that the lat…
Bound States in Mildly Curved Layers
Pavel Exner, David Krejcirik
It has been shown recently that a nonrelativistic quantum particle constrained to a hard-wall layer of constant width built over a geodesically complete simply connected noncompact…
Quantum mechanics of layers with a finite number of point perturbations
Pavel Exner, Katerina Nemcova
We study spectral and scattering properties of a spinless quantum particle confined to an infinite planar layer with hard walls containing a finite number of point perturbations. A…
Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop
Pavel Exner, Kazushi Yoshitomi
In this paper we investigate the operator in , where and is a closed Jordan curve in . We obtain the asymp…
A single-mode quantum transport in serial-structure geometric scatterers
Pavel Exner, Milos Tater, David Vanek
We study transport in quantum systems consisting of a finite array of N identical single-channel scatterers. A general expression of the S matrix in terms of the individual-element…