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 language | English |
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Pages (from-to) | 5064-5101 |
Number of pages | 38 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 54 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- complex potential
- diverging eigenvalues
- domain truncation
- Schrödinger operators
- spectral exactness
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics