181 citations · 3.2k across the 184 of their papers we have counts for
9 papers · 1 filter
Geometrically induced spectrum in curved leaky wires
Pavel Exner, Takashi Ichinose
We study measure perturbations of the Laplacian in supported by an infinite curve in the plane which is asymptotically straight in a suitable sense. We show that if…
Bound states of infinite curved polymer chains
Pavel Exner
We investigate an infinite array of point interactions of the same strength in R^d, d=2,3, situated at vertices of a polygonal curve with a fixed edge length. We demonstrate that i…
Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder
Pavel Exner, Alain Joye
We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field parallel to the surface axis. Depending on an…
Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane
S. A. Albeverio, P. Exner, V. A. Geyler
We consider a charged quantum particle living in the Lobachevsky plane and interacting with a homogeneous magnetic field perpendicular to the plane and a point interaction which is…
Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields
Pierre Duclos, Pavel Exner, Bernhard Meller
We discuss the Noeckel model of an open quantum dot, i.e., a straight hard-wall channel with a potential well. If this potential depends on the longitudinal variable only, there ar…
Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis
Pavel Exner, David Krejcirik
The paper is devoted to a model of a mesoscopic system consisting of a pair of parallel planar waveguides separated by an infinitely thin semitransparent boundary modeled by a tran…