Diverging eigenvalues in domain truncations of Schr\"odinger operators with complex potentials

• URL: http://arxiv.org/abs/2107.10557v1
• Date: Thu, 22 Jul 2021 10:20:47 GMT
• Title: Diverging eigenvalues in domain truncations of Schr\"odinger operators with complex potentials
• Authors: Iveta Semor\'adov\'a and Petr Siegl
• Abstract summary: Diverging eigenvalues in domain truncations of Schr"odinger operators are analyzed and their formulas are obtained. Our approach also yields formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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