Abstract. We discuss properties of eigenvalues of non-self-adjoint Schrödinger operators with complex-valued potential V . Among our results are estimates of the sum of powers of imaginary parts of eigenvalues by the L p -norm of V .
We study the distribution of eigenvalues of the Schrödinger 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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