On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
Mathematical Physics
2008-02-15 v2 math.MP
Abstract
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) perturbed by measure potentials thus extending the results of J.Bruening, V.Geyler, K.Pankrashkin: J. Phys. A 40 (2007) F113--F117.
Keywords
Cite
@article{arxiv.0709.0213,
title = {On the discrete spectrum of spin-orbit Hamiltonians with singular interactions},
author = {Jochen Bruening and Vladimir Geyler and Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:0709.0213},
year = {2008}
}
Comments
10 pages; to appear in Russian Journal of Mathematical Physics (memorial volume in honor of Vladimir Geyler). Results improved in this version