Schrödinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds

DOI10.1007/BF02829696zbMath1111.81057arXiv0707.2146MaRDI QIDQ861765

Arne Jensen, Gheorghe Nenciu

Publication date: 30 January 2007

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2146

zbMATH Keywords

resonancethreshold eigenvalue

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

PERTURBATION OF NEAR THRESHOLD EIGENVALUES: CROSSOVER FROM EXPONENTIAL TO NON-EXPONENTIAL DECAY LAWS ⋮ Metastable states when the Fermi golden rule constant vanishes ⋮ Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum ⋮ Nonexponential decay laws in perturbation theory of near threshold eigenvalues

Cites Work

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• The low energy scattering for slowly decreasing potentials
• Factorization and small-energy asymptotics for the radial Schrödinger equation
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS

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