A special case of the Confluent Hypergeometric Function of the First Kind. It gives the solution to the radial
Schrödinger equation in the Coulomb potential
() of a point nucleus
(1) |
(2) |
(3) |
(4) |
(5) |
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Coulomb Wave Functions.'' Ch. 14 in
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 537-544, 1972.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 631-633, 1953.