Computer investigation of Coulomb wave functions
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- by Robert L. Pexton PDF
- Math. Comp. 24 (1970), 409-411 Request permission
Abstract:
Numerical examples and heuristic reasoning are employed to illustrate the difficulties encountered in computing irregular Coulomb wave functions by Boersma’s formulae.References
- J. Boersma, Expansions for Coulomb wave functions, Math. Comp. 23 (1969), 51–59. MR 237836, DOI 10.1090/S0025-5718-1969-0237836-7 W. Gautschi, "Algorithm 292, regular Coulomb wave functions," Comm. ACM, v. 9, 1966, pp. 793–795.
- Walter Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9 (1967), 24–82. MR 213062, DOI 10.1137/1009002 H. F. Lutz & M. D. Karvelis, "Numerical calculation of Coulomb wave functions for repulsive Coulomb fields," Nuclear Phys., v. 43, 1963, pp. 31–44.
- Milton Abramowitz (ed.), Handbook of mathematical functions, with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1965. Superintendent of Documents. MR 0177136 Calculations performed on CDC-6600 at Lawrence Radiation Laboratory, Livermore, California (14 S floating point).
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Math. Comp. 24 (1970), 409-411
- MSC: Primary 81.33; Secondary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1970-0272295-8
- MathSciNet review: 0272295