79 citations · 481 across the 62 of their papers we have counts for
5 papers · 1 filter
Self-adjointness of the 2D Dirac operator with singular interactions supported on star-graphs
Dale Frymark, Vladimir Lotoreichik
We consider the two-dimensional Dirac operator with Lorentz-scalar -shell interactions on each edge of a star-graph. An orthogonal decomposition is performed which shows such an…
The fate of Landau levels under -interactions
Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik +1
We consider the self-adjoint Landau Hamiltonian in whose spectrum consists of infinitely degenerate eigenvalues , , and the pertu…
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter
Ayman Kachmar, Vladimir Lotoreichik
We consider the magnetic Robin Laplacian with a negative boundary parameter. Among a certain class of domains, we prove that the disk maximizes the ground state energy under the fi…
Schrödinger operators with -potentials supported on unbounded Lipschitz hypersurfaces
Jussi Behrndt, Vladimir Lotoreichik, Peter Schlosser
In this note we consider the self-adjoint Schrödinger operator in , , with a -potential supported on a Lipschitz hypersurface $Σ\subse…
General -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
Biagio Cassano, Vladimir Lotoreichik, Albert Mas +1
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed…