Eigenvalues of Schrödinger operators with complex surface potentials

  • Rupert L. Frank

    Caltech, Pasadena, United States
Eigenvalues of Schrödinger operators with complex surface potentials cover
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Abstract

We consider Schrödinger operators in with complex potentials supported on a hyperplane and show that all eigenvalues lie in a disk in the complex plane with radius bounded in terms of the norm of the potential with . We also prove bounds on sums of powers of eigenvalues.