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Статья

Eigenvalue bounds for Stark operators with complex potentials

Transactions of the American Mathematical Society. 2020. Vol. 373. P. 971-1008.
Korotyaev E., Safronov O.

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