Original scientific paper
The study of atomic transitions by use of Numerov technique in schematic model
Smail Bougouffa
; Department of Physics, Faculty of Science, Taibah University, P.O.Box 344, Madinah, Saudi Arabia
Abstract
The calculation of a partial cross section in atomic collision theory when the collision is inelastic and there is not a possibility of particle exchange requires the solution of a system of coupled differential equations. The Numerov technique is applied to the solution of schematic model equations, which simulate the solution of real problems but are themselves exactly solvable. We have investigated the 32S transition in sodium as an excellent application of a near resonance and strong coupling situation in the case of two-state approximation. The results are compared with those obtained by the Bethe and resonance distortion approximations. The difference can be ascribed to the use of the set of two-channel differential equations rather than the set of three-channel equations used in other approximations, and to the simplified treatment of the interaction potentials.
Keywords
electron-atom collisions; atomic transitions; close coupling approximation; coupled differential equations; Numerov technique
Hrčak ID:
302077
URI
Publication date:
2.7.2006.
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