A unified construction of variationalR-matrix methods: I. The Schrödinger equation

DOI10.1088/0305-4470/30/12/027zbMath0927.47004OpenAlexW1985994059MaRDI QIDQ4232227

Radosław Szmytkowski

Publication date: 13 December 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/12/027

zbMATH Keywords

Schrödinger equationlinear integral operatorsRayleigh-Ritz linear trial functionsvariational principles for matrix elements and eigenvalues

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (5)

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 ⋮ A generalization of Wigner's \(R\)-matrix method. ⋮ Operator formulation of Wigner’s R-matrix theories for the Schrödinger and Dirac equations ⋮ Dirichlet-to-Neumann and Neumann-to-Dirichlet embedding methods for bound states of the Schrödinger equation

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