6 citations · 7 across the 4 of their papers we have counts for
6 papers · 1 filter
Neumann Laplacian in a perturbed domain
Diana Barseghyan, Baruch Schneider, Ly Hong Hai
We consider a domain with a small compact set of zero Lebesgue measure of removed. Our main result concerns the spectrum of the Neumann Laplacian defined on such domain. We prove t…
Eigenvalue bound for Schroedinger operators with unbounded magnetic field
Diana Barseghyan, Baruch Schneider
In this paper we consider magnetic Schroedinger operators on the two-dimensional unit disk with a radially symmetric magnetic field which explodes to infinity at the boundary. We p…
Spectral geometry in a rotating frame: properties of the ground state
Diana Barseghyan, Pavel Exner
We investigate spectral properties of the operator describing a quantum particle confined to a planar domain rotating around a fixed point with an angular velocity and demo…
Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
Diana Barseghyan, Andrii Khrabustovskyi
We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of…
A magnetic version of the Smilansky-Solomyak model
Diana Barseghyan, Pavel Exner
We analyze spectral properties of two mutually related families of magnetic Schrödinger operators, and $H(A)=(i \nabla +A)^2+ω^…
Gaps in the spectrum of a periodic quantum graph with periodically distributed -type interactions
Diana Barseghyan, Andrii Khrabustovskyi
We consider a family of quantum graphs , where is a -periodic metric graph and the periodic Hamiltonian $\mathcal…