15 citations · 53 across the 26 of their papers we have counts for
27 papers
Spectral properties of the magnetic Robin Laplacian on curvilinear half-plane
Diana Barseghyan, Baruch Schneider, Yifan Zhang
We analyse magnetic Robin Laplacian in curvilinear half-plane with a smooth boundary. It is well known that the spectrum of the Robin Laplacian is unstable with respect to boundary…
Intrinsic {Right} -Radial Vector Derivatives and Localized Fischer Decompositions on Radial Algebras
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider +1
We define intrinsic right \(q\)-radial vector derivatives on radial algebras of abstract vector variables. For a finite parameter set \(Y\), a scalar Jackson calculus on \(x^2\) an…
Magnetic Dirichlet Laplacian on deformed waveguides
Daniel Alpay, Diana Barseghyan, Baruch Schneider
It is well known that the spectrum of the Dirichlet Laplacian for a two-dimensional waveguide, which is a local deformation of a straight strip, is unstable with respect to wavegui…
Magnetic Dirichlet Laplacian on a perturbed twisted tube
Diana Barseghyan, Ricardo Abreu Blaya, Juan Bory-Reyes +1
It is well known that the spectrum of the Dirichlet Laplacian for a compact perturbation of a three-dimensional, periodically twisted tube is unstable with respect to domain deform…
Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider
In this paper, we study the following magnetic Schrödinger operator in : \[ H=(i \nabla +A)^2- \tilde{V}, \] where is non-negative potential supported ove…
Magnetic Dirichlet Laplacian in curved waveguides
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider +1
For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable. Any perturbation of the straight strip produces eigenvalues below…
Lieb-Thirring type estimates for Dirichlet Laplacians on spiral-shaped domains
Juan Bory-Reyes, Diana Barseghyan, Baruch Schneider
In this paper we derive Lieb-Thirring estimates for eigenvalues of Dirichlet Laplacians below the threshold of the essential spectrum on asymptotically Archimedean spiral-shaped re…
Magnetic Schrödinger operator with the potential supported in a curved two-dimensional strip
Juan Bory Reyes, Baruch Schneider, Diana Schneiderova
We consider the magnetic Schrödinger operator with a non-negative potential supported over a strip which is a local deformation of a straight one, and th…
Spectral convergence of the Laplace operator with Robin boundary conditions on a small hole
Diana Barseghyan, Baruch Schneider
In this paper we study a bounded domain with a small hole removed. Our main result concerns the spectrum of the Laplace operator with the Robin conditions imposed at the hole bound…
Magnetic Neumann Laplacian on a domain with hole
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider
This article gives a domain with a small compact set of removed and the magnetic Neumann Laplacian on such set. The main theorem of this article shows the description of the holes…
Spectral estimates for Dirichlet Laplacian on spiral-shaped regions
Diana Barseghyan, Pavel Exner
We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains.
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…
Magnetic field influence on the discrete spectrum of locally deformed leaky wires
Diana Barseghyan, Pavel Exner
We consider magnetic Schrödinger operator with an attractive singular interaction supported by a piecewise smooth curve being a local deformation of a…
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…
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 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^…
A regular analogue of the Smilansky model: spectral properties
Diana Barseghyan, Pavel Exner
We analyze spectral properties of the operator in , where and $V…
Magnetic Dirichlet Laplacian with radially symmetric magnetic field
Diana Barseghyan, Francoise Truc
The aim of the paper is to derive spectral estimates on the eigenvalue moments of the magnetic Dirichlet Laplacian defined on the two-dimensional disk with a radially symmetric mag…
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…
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…
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…