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

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

2007-09-03

arxiv.org/abs/0709.0213v2

Russ. J. Math. Phys. 14 (2007) 423-429

Physics

Mathematical Physics

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

Scientific paper

10.1134/S1061920807040073

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.

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