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Coulomb wave functions for low energies

Published online by Cambridge University Press:  24 October 2008

A. S. Meligy
A. S. Meligy
Affiliation:
Faculty of Science, University of Alexandria, Egypt
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Abstract

The irregular radial Coulomb wave function is expanded in a convergent series of Bessel functions in which the coefficients are expressed in powers of the energy and the argument of the Bessel functions depends on the radius only and not on the energy. This formulation is suitable for low-energy particles. The corresponding expansion for the regular Coulomb function can be deduced from previous work by Tricomi.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 2 , April 1964 , pp. 209 - 215
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Abramowitz, M.Tables of Coulomb wave functions (National Bureau of Standards, Appl. Math. series, 17; Washington, 1952).Google Scholar
(2)Abramowtiz, M.J. Math. Phys. 33 (1954), 111.CrossRefGoogle Scholar
(3)Breit, G. and Hull, M.Phys. Rev. 80, (1950), 392.Google Scholar
(4)Breit, G. and Hull, M.Phys. Rev. 80, (1950), 561.CrossRefGoogle Scholar
(5)Buchholz, H.Die Konfluente Hypergeometrische Funktion. (Springer: Berlin, 1953).CrossRefGoogle Scholar
(6)Erdélyi, A. et al. Higher transcendental functions, I. (McGraw-Hill Book Company; New York, 1953).Google Scholar
(7)Fröberg, C.Rev. Mod. Phys. 27 (1955), 399.CrossRefGoogle Scholar
(8)Ham, F. S.Tables for the calculation of Coulomb wave functions (Office of Naval Research Technical Report No. 204, Cruft Laboratory, Harvard University; Cambridge, Mass., 1955).Google Scholar
(9)Meligy, A. S.Nuclear Phys. 5 (1958), 615.CrossRefGoogle Scholar
(10)Slater, L. J.Confluent hypergeometric functions (Cambridge, 1960).Google Scholar
(11)Whittaker, E. T. and Watson, G. N.Modern analysis (4th ed.) (Cambridge, 1927).Google Scholar
(12)Yost, F. L., Wheeler, J. A. and Breit, G.Phys. Rev. 49 (1936), 174.CrossRefGoogle Scholar