181 citations · 3.2k across the 184 of their papers we have counts for
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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…
Potential approximations to : an inverse Klauder phenomenon with norm-resolvent convergence
Pavel Exner, Hagen Neidhardt, Valentin Zagrebnov
We show that there is a family Schroedinger operators with scaled potentials which approximates the -interaction Hamiltonian in the norm-resolvent sense. This approximation, ba…