Bounds on complex eigenvalues and resonances

1999/11/29 by A. A. Abramov, Abramov, A. A., A. A. Aslanyan +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #34L05 #34L40 #35P05 #47A75 #65L15 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.math/9911238

openalex publication_date 1999/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain bounds on the complex eigenvalues of non-self-adjoint Schrödinger operators with complex potentials, and also on the complex resonances of self-adjoint Schrödinger operators. Our bounds are compared with numerical results, and are seen to provide useful information.

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