181 citations · 3.2k across the 184 of their papers we have counts for
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Multiple bound states in scissor-shaped waveguides
Evgeny N. Bulgakov, Pavel Exner, Konstantin N. Pichugin +1
We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at…
Two-component model of a spin-polarized transport
P. Seba, P. Exner, K. N. Pichugin +1
Effect of the spin-involved interaction of electrons with impurity atoms or defects to the transport properties of a two-dimensional electron gas is described by using a simplifyin…
Magnetic strip waveguides
Pavel Exner, Hynek Kovarik
We analyze the spectrum of the "local" Iwatsuka model, i.e. a two-dimensional charged particle interacting with a magnetic field which is homogeneous outside a finite strip and tra…
Edge currents in the absence of edges
Pavel Exner, Alain Joye, Hynek Kovarik
We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to b…
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…