A numerical approach to the solution of coupled equations involved in electron-ion and electron-atom scattering problems

Journal Article · Sun Jun 01 04:00:00 EDT 1975 · Journal of Computational Physics

DOI:https://doi.org/10.1016/0021-9991(75)90029-7· OSTI ID:4175872

Smith, Ed R.

A numerical procedure is outlined which treats the coupled equations involved in electron-ion scattering, as well as electron-atom scattering, within the close-coupling formalism. The coupled integrodifferential equations of the scattering problem are solved by a two-step process. First, the equations are separated into auxiliary equations which are then solved numerically in the interior region from zero out to some transformation point r/sub t/. Any convenient numerical technique can be used to integrate the equations; in this work, a noniterative integral equation method is used. Next, the long-range potential terms are taken into account at r/sub t/ via an open-channel projection technique. This technique simply projects the reactance matrix to its asymptotic value. The numerical procedure is then tested by applying it to e--He$sup +$ scattering. Finally, two specific disadvantages of the procedure related to the treatment of closed channels are discussed in detail. (25 references) (auth)

• Research Organization: Air Force Cambridge Research Labs., Bedford, MA
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-006298
• OSTI ID: 4175872
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 18; ISSN 0021-9991
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

*ELECTRON-ATOM COLLISIONS-- MATHEMATICAL MODELS
*ELECTRON-ION COLLISIONS-- MATHEMATICAL MODELS
*HELIUM IONS-- ELECTRON-ION COLLISIONS
640304* --Physics Research--Atomic
Molecular & Chemical Physics--Collision Phenomena
N60400* --Physics (Atomic & Molecular)--Collision Phenomena
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