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pro vyhledávání: '"Barseghyan, Diana"'
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 regions.
Externí odkaz:
http://arxiv.org/abs/2406.00580
Autor:
Barseghyan, Diana, Schneider, Baruch
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 boundary. Moreover we prove that under some suitable assumptions on the par
Externí odkaz:
http://arxiv.org/abs/2304.03197
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 which do not change the spectrum drastically. In this article we prove
Externí odkaz:
http://arxiv.org/abs/2301.09181
Autor:
Barseghyan, Diana, Exner, Pavel
We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains.
Externí odkaz:
http://arxiv.org/abs/2206.14058
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 that the spectrum of the Laplacian converges in the Hausdorff distance
Externí odkaz:
http://arxiv.org/abs/2108.03646
Autor:
Barseghyan, Diana, Exner, Pavel
We consider magnetic Schr\"odinger operator $H=(i \nabla +A)^2-\alpha \delta_\Gamma$ with an attractive singular interaction supported by a piecewise smooth curve $\Gamma$ being a local deformation of a straight line. The magnetic field $B$ is suppos
Externí odkaz:
http://arxiv.org/abs/2006.03877
Autor:
Barseghyan, Diana, Schneider, Baruch
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 prove a bound for the eigenvalue moments and a bound for the number of
Externí odkaz:
http://arxiv.org/abs/1907.02467
Autor:
Barseghyan, Diana, Exner, Pavel
We investigate spectral properties of the operator describing a quantum particle confined to a planar domain $\Omega$ rotating around a fixed point with an angular velocity $\omega$ and demonstrate several properties of its principal eigenvalue $\lam
Externí odkaz:
http://arxiv.org/abs/1902.03038
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 rotation, then its spectrum is purely discrete under some additional
Externí odkaz:
http://arxiv.org/abs/1804.07197
Autor:
Barseghyan, Diana, Truc, Francoise
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 magnetic field and radially symmetric electric potential.
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Externí odkaz:
http://arxiv.org/abs/1711.09754