114 citations · 202 across the 21 of their papers we have counts for
30 papers
Spectral Asymptotics at Thresholds for a Dirac-type Operator on
Pablo Miranda, Daniel Parra, Georgi Raikov
In this article, we provide the spectral analysis of a Dirac-type operator on by describing the behavior of the spectral shift function associated with a sign-defini…
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…
Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians
Vincent Bruneau, Georgi Raikov
We consider the 3D Schrödinger operator with constant magnetic field of scalar intensity , and its perturbations (resp., ) obtained by imposing Dirichlet…
Spectral properties of Landau Hamiltonians with non-local potentials
Esteban Cárdenas, Georgi Raikov, Ignacio Tejeda
We consider the Landau Hamiltonian , self-adjoint in , whose spectrum consists of an arithmetic progression of infinitely degenerate positive eigenvalues $…
Spectral properties of 2D Pauli operators with almost periodic electromagnetic fields
Jean-Francois Bony, Nicolas Espinoza, Georgi Raikov
We consider a 2D Pauli operator with almost periodic field and electric potential . First, we study the ergodic properties of and show, in particular, that its discrete…
Lifshits tails for randomly twisted quantum waveguides
Werner Kirsch, David Krejcirik, Georgi Raikov
We consider the Dirichlet Laplacian on a 3D twisted waveguide with random Anderson-type twisting . We introduce the integrated density of states for the operator $H_…