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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 the number of bound states for weak perturbations of spin-orbit Hamiltonians
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for some weak perturbations of a class of spin-orbit Hamiltonians includi…
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…
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…
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…