2 citations · 2 across the 3 of their papers we have counts for
4 papers
Spectral properties of twisted soft waveguides
Pavel Exner, David Spitzkopf
We discuss a model of a soft waveguide described by Schrödinger operator whose potential is a twisted straight channel of non-circular profile. We show that a compactly supported t…
Local perturbations of potential well arrays
Pavel Exner, David Spitzkopf
We consider an equidistant array of disjoint potential wells in , built over a straight line, and show that, under a restriction on the potential support as…
Magnetic transport due to a translationally invariant potential obstacle
Pavel Exner, David Spitzkopf
We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invar…
Interlaced dense point and absolutely continuous spectra for Hamiltonians with concentric-shell singular interactions
P. Exner, M. Fraas
We analyze the spectrum of the generalized Schrodinger operator in , with a general local, rotationally invariant singular interaction supported by an infinite fa…