79 citations · 481 across the 62 of their papers we have counts for
12 papers · 1 filter
Optimization of the lowest eigenvalue of a soft quantum ring
Pavel Exner, Vladimir Lotoreichik
We consider the self-adjoint two-dimensional Schrödinger operator associated with the differential expression describing a particle exposed to an attractive interactio…
Faber-Krahn inequalities for Schrödinger operators with point and with Coulomb interactions
Vladimir Lotoreichik, Alessandro Michelangeli
We obtain new Faber-Krahn-type inequalities for certain perturbations of the Dirichlet Laplacian on a bounded domain. First, we establish a two- and three-dimensional Faber-Krahn i…
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions
Biagio Cassano, Vladimir Lotoreichik
We consider the four-component two-valley Dirac operator on a wedge in with infinite mass boundary conditions, which enjoy a flip at the vertex. We show that it has…
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…
Asymptotics of resonances induced by point interactions
Jiri Lipovsky, Vladimir Lotoreichik
We consider the resonances of the self-adjoint three-dimensional Schrödinger operator with point interactions of constant strength supported on the set . The…
On the bound states of magnetic Laplacians on wedges
P. Exner, V. Lotoreichik, A. Pérez-Obiol
This paper is mainly inspired by the conjecture about the existence of bound states for magnetic Neumann Laplacians on planar wedges of any aperture . So far, a proof w…