Eigenvalue bounds for Stark operators with complex potentials

2018/02/18 by Evgeny Korotyaev, Korotyaev, Evgeny, Oleg Safronov +1
Mathematics · #FOS: Mathematics #Spectral Theory (math.SP) #math.SP

paper · pdf · doi:10.48550/arxiv.1802.06447

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arxiv created 2018/04/14 · arxiv updated 2018/04/17

Abstract

We consider the 3-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.

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