On the discrete spectrum of spin-orbit Hamiltonians with singular interactions

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.

10 pages; to appear in Russian Journal of Mathematical Physics (memorial volume in honor of Vladimir Geyler). Results improved in this version

References in corpus (4)

• Quasi-classical versus non-classical spectral asymptotics for magnetic Schroedinger operators with decreasing electric potentials
• Bound states in a 2D short range potential induced by spin-orbit interaction
• Explicit Green functions for spin-orbit Hamiltonians
• On the number of bound states for weak perturbations of spin-orbit Hamiltonians