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Eigenvalue bounds for Stark operators with complex potentials

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We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of… Click to show full abstract

We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated in the upper half-plane.

Keywords: operators complex; eigenvalue bounds; complex potentials; bounds stark; stark operators

Journal Title: Transactions of the American Mathematical Society
Year Published: 2019

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