The wave functions in Coulomb fields
โ Scribed by A.S. Meligy
- Book ID
- 104158616
- Publisher
- Elsevier Science
- Year
- 1956
- Weight
- 303 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0029-5582
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โฆ Synopsis
In this paper a detailed mathematical study of the confluent hypergeometric functions is carried out. Exact analytic expansions in series of Bessel functions are developed. These expansions axe found to be useful for the computation of the wave functions in Coulomb fields. They have the advantage over power series expansions in the clearance of imaginaxies from the wave functions for repulsive Coulomb fields.
๐ SIMILAR VOLUMES
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 i