Diverging eigenvalues in domain truncations of Schr\"odinger operators with complex potentials
Spectral Theory
2021-07-23 v1 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2107.10557,
title = {Diverging eigenvalues in domain truncations of Schr\"odinger operators with complex potentials},
author = {Iveta Semorádová and Petr Siegl},
journal= {arXiv preprint arXiv:2107.10557},
year = {2021}
}
Comments
34 pages, 9 figures