Accurate solutions of coupled radial Schrödinger equations

DOI10.1088/0305-4470/32/29/308zbMath0972.81033OpenAlexW2087336466MaRDI QIDQ4947688

A. F. Polupanov, V. I. Galiev

Publication date: 25 April 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/32/29/308

zbMATH Keywords

continuous spectrumeigenvaluesquadratic formpower series\(S\)-matrixdiscrete spectrumlogarithmic functionwavefunctionsirregular singularityregular singularitypower functionsresonance statesmatching of exact solutionsmatrix potential energy termsuperposition of Coulomb and polynomial potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Asymptotic expansions of solutions to ordinary differential equations (34E05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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