Generalized completeness relations in the theory of resonant scattering

DOI10.1063/1.525419zbMath0518.35060OpenAlexW2067113176MaRDI QIDQ3667300

O. Zohni

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525419

zbMATH Keywords

regularization methodsresonant scatteringrigged Hilbert spacescompleteness relationscomplex-energy plane

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Cites Work

• The Livsic matrix in perturbation theory
• Rigged Hilbert spaces in quantum mechanics
• The decay-scattering system
• Analyticity of the Schrödinger Scattering Amplitude and Nonrelativistic Dispersion Relations
• Resonances, scattering theory, and rigged Hilbert spaces
• Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals
• Spectrum of the Scattering Integral Operator in the Physical Energy Sheet
• Nested Hilbert Spaces in Quantum Mechanics. I
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
• On the Scattering of a Particle by a Static Potential

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