An Improved Stability Result for Resonances

DOI10.2307/1999539zbMath0562.34042OpenAlexW4238873484MaRDI QIDQ5187576

Mark S. Ashbaugh, C.-E. Sundberg

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999539

zbMATH Keywords

Schrödinger equationsHurwitz's theoremRiccati equation analysisstability of shape resonances

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Linear boundary value problems for ordinary differential equations (34B05) Ordinary differential operators (34L99)

Cites Work

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• Stability of Schrödinger eigenvalue problems
• Krein's formula and one-dimensional multiple-well
• Perturbation of resonances in quantum mechanics
• Decoupling by a projection
• Perturbation theory for shape resonances and large barrier potentials
• On the rate of asymptotic eigenvalue degeneracy
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Störungstheorie der Spektralzerlegung. I. Analytische Störung der isolierten Punkteigenwerte eines beschränkten Operators
• Perturbation des transformations autoadjointes dans l'espace de Hilbert

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