SOLUTION OF THE RELATIVISTIC ASYMPTOTIC EQUATIONS IN ELECTRON-ION SCATTERING

Authors
YOUNG IG NORRINGTON PH
Citation
Ig. Young et Ph. Norrington, SOLUTION OF THE RELATIVISTIC ASYMPTOTIC EQUATIONS IN ELECTRON-ION SCATTERING, Computer physics communications, 83(2-3), 1994, pp. 215-226
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
83
Issue
2-3
Year of publication
1994
Pages
215 - 226
Database
ISI
SICI code
0010-4655(1994)83:2-3<215:SOTRAE>2.0.ZU;2-9
Abstract
Two asymptotic expansions are suggested for the solution of the couple d equations for the radial channel wavefunctions arising from the trea tment of electron-ion scattering using the Dirac Hamiltonian. The recu rrence relations obtained for the expansion coefficients are given. A method is suggested for calculation of the one-electron Dirac-Coulomb functions used in the second expansion using solutions of the non-rela tivistic Coulomb equation with complex arguments.