Approximations for coulomb wave functions

✍ Scribed by R.H Barlett; M.H Rice; R.H Good Jr.

• Publisher: Elsevier Science
• Year: 1957
• Tongue: English
• Weight: 527 KB
• Volume: 2
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(57)90026-x

✦ Synopsis

This paper gives a discussion of WKB-type approximations to the solutions of the radial wave equation for a Schrodinger particle in a Coulomb field. Approximations based on Airy integrals, (L + %)-order Bessel functions, and (2L + I)-order Bessel functions are considered. The results indicate that important factors in the choice of the basic function for the approximation are the poles in the effective potential.