Computer investigation of Coulomb wave functions

Author:
Robert L. Pexton

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

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Abstract | References | Similar Articles | Additional Information

Abstract: Numerical examples and heuristic reasoning are employed to illustrate the difficulties encountered in computing irregular Coulomb wave functions by Boersma's formulae.

**[1]**J. Boersma, "Expansions for Coulomb wave functions,"*Math. Comp.*, v. 23, 1969, pp. 51-59. MR**0237836 (38:6117)****[2]**W. Gautschi, "Algorithm 292, regular Coulomb wave functions,"*Comm. ACM*, v. 9, 1966, pp. 793-795.**[3]**W. Gautschi, "Computational aspects of three-term recurrence relations,"*SIAM Rev.*, v. 9, 1967, pp. 24-82. MR**35**#3927. MR**0213062 (35:3927)****[4]**H. F. Lutz & M. D. Karvelis, "Numerical calculation of Coulomb wave functions for repulsive Coulomb fields,"*Nuclear Phys.*, v. 43, 1963, pp. 31-44.**[5]**M. Abramöwitz, "Coulomb wave functions," in M. Abramowitz & I. A: Stegun (Editors),*Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables*, Nat. Bur. Standards Appl. Math. Series, 55, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964; 3rd printing with corrections, 1965, Table 14.1 (5 S floating point). MR**29**#4914; MR**31**#1400. MR**0177136 (31:1400)****[6]**Calculations performed on CDC-6600 at Lawrence Radiation Laboratory, Livermore, California (14 S floating point).

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1970-0272295-8

Keywords:
Coulomb wave functions,
computation of regular solutions,
computation of irregular solutions,
W. Gautschi method,
J. Boersma method

Article copyright:
© Copyright 1970
American Mathematical Society