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Eigenvalue bounds for Stark operators with complex potentials

Spectral Theory 2018-04-17 v2

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.

Keywords

Cite

@article{arxiv.1802.06447,
  title  = {Eigenvalue bounds for Stark operators with complex potentials},
  author = {Evgeny Korotyaev and Oleg Safronov},
  journal= {arXiv preprint arXiv:1802.06447},
  year   = {2018}
}

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