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Direct solution of the three-dimensional Lippmann–Schwinger equation

Kadyrov, A.S., Bray, I., Stelbovics, A.T. and Saha, B. (2005) Direct solution of the three-dimensional Lippmann–Schwinger equation. Journal of Physics B: Atomic, Molecular and Optical Physics, 38 (5). pp. 509-515.

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A standard technique for solving three-dimensional momentum-space integral equations in scattering theory is their transformation into one-dimensional equations in terms of partial waves. However, for some scattering systems where a large number of partial waves contribute this technique is not efficient. In this work we explore the alternative approach of solving these equations directly without partial-wave expansion. For illustrative purposes we adopt the coupled-channel approach and consider a well-studied static-exchange model of electron-hydrogen scattering.

Publication Type: Journal Article
Murdoch Affiliation: Centre for Atomic, Molecular and Surface Physics
Publisher: Institute of Physics
Copyright: © 2005 IOP Publishing Ltd.
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