15 citations · 53 across the 26 of their papers we have counts for
8 papers · 1 filter
Magnetic Schroedinger operators with radially symmetric magnetic field and radially symmetric electric potential
Diana Barseghyan, Francoise Truc
The aim of the paper is to derive spectral estimates on the eigenvalue moments of the magnetic Schroedinger operators defined on the two-dimensional disk with a radially symmetric…
A regular analogue of the Smilansky model: spectral properties
Diana Barseghyan, Pavel Exner
We analyze spectral properties of the operator in , where and $V…
Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition
Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi +1
We analyze two-dimensional Schrödinger operators with the potential where and , which exhibit an abrupt change of its spectral prop…
Semiclassical bounds in magnetic bottles
Diana Barseghyan, Pavel Exner, Hynek Kovarik +1
The aim of the paper is to derive spectral estimates into several classes of magnetic systems. They include three-dimensional regions with Dirichlet boundary as well as a particle…
A regular version of Smilansky model
Diana Barseghyan, Pavel Exner
We discuss a modification of Smilansky model in which a singular potential `channel' is replaced by a regular, below unbounded potential which shrinks as it becomes deeper. We demo…
Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
Pavel Exner, Diana Barseghyan
We investigate Dirichlet Laplacian in a straight twisted tube of a non-circular cross section, in particular, its discrete spectrum coming from a local slowdown of the twist. We pr…
Spectral estimates for Dirichlet Laplacians and Schroedinger operators on geometrically nontrivial cusps
Pavel Exner, Diana Barseghyan
The goal of this paper is to derive estimates of eigenvalue moments for Dirichlet Laplacians and Schrödinger operators in regions having infinite cusps which are geometrically nont…
Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below
Pavel Exner, Diana Barseghyan
We analyze two-dimensional Schrödinger operators with the potential where and . We show that there is a critical value of such…