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The wave functions in Coulomb fields

โœ 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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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Approximations for coulomb wave function
โœ R.H Barlett; M.H Rice; R.H Good Jr. ๐Ÿ“‚ Article ๐Ÿ“… 1957 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 527 KB

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