Title

Accuracy of Local Exchange in the Calculation of Continuum Wavefunctions

Abstract

It is well known that electron exchange can play an important role in electron-impact elastic, inelastic and ionization scattering from atoms and molecules. The proper theoretical treatment of exchange yields an inhomogeneous differential equation with a non-local exchange operator. To simplify the calculation, a local approximation is often made for this non-local operator. In this paper, we examine the accuracy of this approximation for the calculation of elastic scattering continuum waves in the presence of an argon ion with a single vacancy in the p-shell. It is found that one can reliably use the local exchange approximation for ionization leading to s-state vacancies but not p-state vacancies.

Department(s)

Physics

Keywords and Phrases

Approximation theory; Continuum mechanics; Differential equations; Electron scattering; Ionization; Molecular physics; Wave equations; Continuum wavefunctions; Atomic physics

International Standard Serial Number (ISSN)

0953-4075

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Institute of Physics - IOP Publishing, All rights reserved.


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