59 citations
- AGH University of KrakowPL17 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ11 papers
- Czech Academy of SciencesCZ9 papers
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- Ghent UniversityBE7 papers
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5 papers · 1 filter
Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
Baruch Schneider, Diana Schneiderova, Yifan Zhang
This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks…
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…
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^…
Improved Berezin-Li-Yau inequalities with magnetic field
Hynek Kovarik, Timo Weidl
In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a consta…