English

On the number of bound states for weak perturbations of spin-orbit Hamiltonians

Mathematical Physics 2007-05-23 v1 Mesoscale and Nanoscale Physics math.MP

Abstract

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 including the Rashba and Dresselhaus Hamiltonians.

Keywords

Cite

@article{arxiv.math-ph/0611080,
  title  = {On the number of bound states for weak perturbations of spin-orbit Hamiltonians},
  author = {Jochen Bruening and Vladimir Geyler and Konstantin Pankrashkin},
  journal= {arXiv preprint arXiv:math-ph/0611080},
  year   = {2007}
}