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On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
Authors:J. Brüning  V. Geyler  K. Pankrashkin
Affiliation:1.Institut für Mathematik,Humboldt-Universit?t zu Berlin,Berlin,Germany;2.Mathematical Faculty,Mordovian State University,Saransk,Russia;3.Département de Mathématiques,Université Paris Nord,Villetaneuse,France
Abstract:We give a variational proof of the existence of infinitely many bound states placed below the continuous spectrum for spin-orbit Hamiltonians (including the Rashba and Dresselhaus cases) perturbed by measure potentials, thus extending results of J. Brüning, V. Geyler, K. Pankrashkin, J. Phys. A: Math. Theor. 40 F113–F117 (2007).
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