79 citations · 481 across the 62 of their papers we have counts for
5 papers · 1 filter
The Landau Hamiltonian with -potentials supported on curves
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
The spectral properties of the singularly perturbed self-adjoint Landau Hamiltonian in with a -potential supported on a finite -s…
A sharp upper bound on the spectral gap for graphene quantum dots
Vladimir Lotoreichik, Thomas Ourmières-Bonafos
The main result of this paper is a sharp upper bound on the first positive eigenvalue of Dirac operators in two dimensional simply connected -domains with infinite mass bounda…
Spectral isoperimetric inequality for the -interaction on a contour
Vladimir Lotoreichik
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive -interaction of a fixed strength, the…
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
Pavel Exner, Vladimir Lotoreichik
We perform quantitative spectral analysis of the self-adjoint Dirichlet Laplacian on an unbounded, radially symmetric (generalized) parabolic layer $\mathcal{P}\subset…
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics
David Krejcirik, Vladimir Lotoreichik, Miloslav Znojil
We propose a unique way how to choose a new inner product in a Hilbert space with respect to which an originally non-self-adjoint operator similar to a self-adjoint operator become…