On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
classification
🧮 math-ph
math.MP
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hamiltoniansspectrumspin-orbitbelowboundbrueningcasescontinuous
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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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