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.
Construction of complex potentials for multiply connected domains
Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric
Behavior of eigenvalues in a region of broken-PT symmetry
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