181 citations · 3.2k across the 184 of their papers we have counts for
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Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…
Magnetic layers with periodic point perturbations
P. Exner, K. Nemcova
We study spectral properties of a spinless quantum particle confined to an infinite planar layer with hard walls which interacts with a periodic lattice of point perturbations and…
Bound states due to a strong interaction supported by a curved surface
Pavel Exner, Sylwia Kondej
We study the Schrödinger operator in with a interaction supported by an infinite non-planar surface which is smooth, admits a global normal paramet…
Curvature-induced bound states for a interaction supported by a curve in
Pavel Exner, Sylwia Kondej
We study the Laplacian in perturbed on an infinite curve by a interaction defined through boundary conditions which relate the corresponding generalized…
Persistent currents for 2D Schrödinger operator with a strong -interaction on a loop
Pavel Exner, Kazushi Yoshitomi
We investigate the two-dimensional magnetic Schrödinger operator , where is a smooth loop and the vector potential corresponds to a hom…