Operator formulation of Wigner’s R-matrix theories for the Schrödinger and Dirac equations

DOI10.1063/1.532567zbMath0976.81130OpenAlexW2026933963MaRDI QIDQ4701480

Radosław Szmytkowski

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532567

zbMATH Keywords

integral operatorSchrödinger equationDirac equationintegral operators\(R\)-matrix

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (3)

Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for eigenvalues and eigenfunctions of the Laplace operator ⋮ On Eisenbud's and Wigner's \(R\)-matrix: A general approach ⋮ Dirichlet-to-Neumann and Neumann-to-Dirichlet embedding methods for bound states of the Schrödinger equation

Cites Work

• A unified construction of variationalR-matrix methods: I. The Schrödinger equation
• Kapur - Peierls and WignerR-matrix theories for the Dirac equation
• On the Behavior of Cross Sections Near Thresholds
• Resonance Reactions Involving Dirac-Type Incident Particles
• Sum Rules in the Dispersion Theory of Nuclear Reactions

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