Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials

2021/07/22 by Semorádová, Iveta, Siegl, Petr · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2107.10557

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.

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• Weak coupling for Schrödinger operators with complex potentials

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