Numerical Treatment of Coulomb Wave Functions

DOI10.1103/RevModPhys.27.399zbMath0067.21005OpenAlexW1998947928MaRDI QIDQ3228362

Carl-Erik Fröberg

Publication date: 1955

Published in: Reviews of Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/revmodphys.27.399

zbMATH Keywords

quantum theory

Related Items (12)

Two-dimensional Coulomb scattering of a quantum particle: low-energy asymptotic behavior ⋮ Wavefunction Expansion in Terms of Spherical Bessel Functions ⋮ Accurate numerical solution of the radial Schrödinger and Dirac wave equations ⋮ Continued-fraction evaluation of Coulomb functions F//alpha(eta,x), G//alpha(eta,x) and their derivatives ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows ⋮ High Precision Evaluation of the Irregular Coulomb Wave Functions ⋮ Coulomb and Bessel functions of complex arguments and order ⋮ Precision big bang nucleosynthesis with improved helium-4 predictions ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions ⋮ An application of minimal solutions of three-term recurrences to Coulomb wave functions ⋮ Asymptotic expansion of coulomb wave functions on the transition line

Cites Work

• Unnamed Item
• Recurrence Formulas for Coulomb Wave Functions
• Methods of Calculation of Radial Wave Functions and New Tables of Coulomb Functions
• Asymptotic Expansion of the Irregular Coulomb Function
• Asymptotic Expansion of Irregular Coulomb Function for Angular Momentum Zero
• Asymptotic expansions of Coulomb wave functions
• Coulomb Wave Functions Expressed in Terms of Bessel‐Clifford and Bessel Functions
• Coulomb Functions for Reactions of Protons and Alpha-Particles with the Lighter Nuclei
• The Factorization Method
• Coulomb Wave Functions in the Transition Region
• Evaluation of Coulomb Wave Functions along the Transition Line
• Coulomb Functions for Large Charges and Small Velocities
• Generation of Coulomb Wave Functions by Means of Recurrence Relations

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