DIVERGING EIGENVALUES IN DOMAIN TRUNCATIONS OF SCHRÖDINGER OPERATORS WITH COMPLEX POTENTIALS

Research output: Contribution to journalArticlepeer-review

Abstract

Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.

Original languageEnglish
Pages (from-to)5064-5101
Number of pages38
JournalSIAM Journal on Mathematical Analysis
Volume54
Issue number4
DOIs
Publication statusPublished - 2022

Keywords

  • complex potential
  • diverging eigenvalues
  • domain truncation
  • Schrödinger operators
  • spectral exactness

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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