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On the number of eigenvalues of Schr\"odinger operators with complex potentials

Research paper by Rupert L. Frank, Ari Laptev, Oleg Safronov

Indexed on: 12 Jan '16Published on: 12 Jan '16Published in: Mathematics - Spectral Theory



Abstract

We study the eigenvalues of Schr\"odinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where $V$ decays exponentially at infinity.