40 citations
5 papers
Hybrid-impurity resonances in anisotropic quantum dots
V. A. Margulis, A. V. Shorokhov
The absorption of electromagnetic radiation of an anisotropic quantum dot is theoretically investigated taking into account the processes associated with simultaneous scattering fr…
On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for spin-orbit Hamiltonians (including the Rashba and Dresselhaus cases)…
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…
Geometrical phase for a three-dimensional anisotropic quantum well
V. A. Geyler, A. V. Shorokhov
A three-dimensional anisotropic quantum well placed in an adiabatically precessing uniform magnetic field is considered and an explicit formula for the Berry phase is obtained. To…
Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…