Estimates for eigenvalues of the Schrödinger operator with a complex potential

Details Estimates for eigenvalues of the Schrödinger operator with a complex potential Estimates for eigenvalues of the Schrödinger operator with a complex potential

2009-02-23

arxiv.org/abs/0902.3950v1

Physics

Mathematical Physics

Scientific paper

We study the distribution of eigenvalues of the Schr\"odinger operator with a
complex valued potential $V$. We prove that if $|V|$ decays faster than the
Coulomb potential, then all eigenvalues are in a disc of a finite radius.

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