Estimates for Eigenvalues of the Schrödinger Operator with a Complex Potential
نویسنده
چکیده
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.
منابع مشابه
On the Number of Eigenvalues of the Discrete One-dimensional Schrödinger Operator with a Complex Potential
We study the eigenvalues of the discrete Schrödinger operator with a complex potential. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity.
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