DOI

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.

Original languageEnglish
Pages (from-to)971-1008
Number of pages38
JournalTransactions of the American Mathematical Society
Volume373
Issue number2
DOIs
StatePublished - Feb 2020

    Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

    Research areas

  • Complex potentials, Eigenvalue estimates, Stark operators, NUMBER, INEQUALITIES, LADDER, FIELD, ASYMPTOTIC COMPLETENESS, SOBOLEV, eigenvalue estimates, complex potentials, RESONANCES, SCHRODINGER-OPERATORS

ID: 70062766