195 citations · 303 across the 8 of their papers we have counts for
8 papers
Explicit Green functions for spin-orbit Hamiltonians
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We derive explicit expressions for Green functions and some related characteristics of the Rashba and Dresselhaus Hamiltonians with a uniform magnetic field.
Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in t…
The Spectral Asymptotics of the Two-Dimensional Schrödinger operator with a Strong Magnetic Field
Jochen Bruening, Sergey Dobrokhotov, Konstantin Pankrashkin
We consider the spectral problem for the two-dimensional Schrödinger operator for a charged particle in strong uniform magnetic and periodic electric fields. The related classical…
On-diagonal singularities of the Green functions for Schroedinger operators
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We investigate the behavior of the Green functions of Schroedinger operators near the diagonal. The only non-trivial cases, where the on-diagonal singularities are non-zero and do…
Spectral properties of a short-range impurity in a quantum dot
J. Bruening, V. Geyler, I. Lobanov
The spectral properties of the quantum mechanical system consisting of a quantum dot with a short-range attractive impurity inside the dot are investigated in the zero-range limit.…
Spectral diagrams of Hofstadter type for the Bloch electron in three dimensions
J. Bruening, V. V. Demidov, V. A. Geyler
Flux-energy and angle-energy diagrams for an exact three-dimensional Hamiltonian of the Bloch electron in a uniform magnetic field are analyzed. The dependence of the structure of…