V. Lotoreichik

activity

20092026

most citedSchrödinger operators with delta and delta'-potentials supported on hypersurfaces

79 citations · 481 across the 62 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SP2019

Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

Magda Khalile, Vladimir Lotoreichik

We consider the problem of geometric optimization of the lowest eigenvalue for the Laplacian on a compact, simply-connected two-dimensional manifold with boundary subject to an att…

math-ph2019

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 $R^{2}$ with infinite mass boundary conditions, which enjoy a flip at the vertex. We show that it has…

math.SP2019

On Dirac operators in $R^{3}$ with electrostatic and Lorentz scalar $δ$ -shell interactions

Jussi Behrndt, Pavel Exner, Markus Holzmann +1

In this article Dirac operators $A_{η, τ}$ coupled with combinations of electrostatic and Lorentz scalar $δ$ -shell interactions of constant strength $η$ and $τ$ , respectively, supp…

Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions

On Dirac operators in R3 with electrostatic and Lorentz scalar δ-shell interactions

On Dirac operators in $R^{3}$ with electrostatic and Lorentz scalar $δ$ -shell interactions