Diverging eigenvalues in domain truncations of Schr\"odinger operators with complex potentials
Iveta Semor\'adov\'a, Petr Siegl
TL;DR
This paper analyzes the behavior of diverging eigenvalues in truncated Schr"odinger operators with complex potentials, providing asymptotic formulas for these eigenvalues in various regimes.
Contribution
It introduces new asymptotic formulas for diverging eigenvalues in domain truncations of Schr"odinger operators with complex potentials, including strong coupling regimes.
Findings
Asymptotic formulas for diverging eigenvalues in domain truncations.
Asymptotic behavior in the strong coupling regime.
Insights into spectral properties of Schr"odinger operators with complex potentials.
Abstract
Diverging eigenvalues in domain truncations of Schr\"odinger 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems