Complex Prüfer phase function with applications to scattering

DOI10.1016/0021-9991(89)90033-8zbMath0683.65073OpenAlexW2048170417MaRDI QIDQ1825008

Petri Pajunen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90033-8

zbMATH Keywords

scattering theorySturm-Liouville eigenvalue problemcomplex optical phase shiftscomplex Prüfer phase function methodquantal deflection functionquantal rainbows

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Uses Software

• NAG

Cites Work

• Semiclassical description of scattering
• Numerical approximation of eigenvalues of Sturm-Liouville systems
• A slightly modified Prüfer transformation useful for calculating Sturm- Liouville eigenvalues
• Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems
• Automatic Solution of the Sturm-Liouville Problem
• Sturm-Liouville Eigenvalues via a Phase Function

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