D. Barseghyan

activity

20112026

most citedA regular version of Smilansky model

15 citations · 53 across the 26 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math-ph2016★ 5 cited

A regular analogue of the Smilansky model: spectral properties

Diana Barseghyan, Pavel Exner

We analyze spectral properties of the operator $H = \frac{\partial ^{2}}{\partial x ^{2}} - \frac{\partial ^{2}}{\partial y ^{2}} + ω^{2} y^{2} - λ y^{2} V (x y)$ in $L^{2} (R^{2})$ , where $ω \neq = 0$ and $V…

math.SP2016

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…