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Calculation of the Full Scattering Amplitude without Partial Wave Decomposition IIAs is well known, the full scattering amplitude can be expressed as an integral involving the complete scattering wave function. We have shown that the integral can be simplified and used in a practical way. Initial application to electron-hydrogen scattering without exchange was highly successful. The Schrodinger equation (SE) can be reduced to a 2d partial differential equation (pde), and was solved using the finite element method. We have now included exchange by solving the resultant SE, in the static exchange approximation. The resultant equation can be reduced to a pair of coupled pde's, to which the finite element method can still be applied. The resultant scattering amplitudes, both singlet and triplet, as a function of angle can be calculated for various energies. The results are in excellent agreement with converged partial wave results.
Document ID
20040037726
Document Type
Conference Paper
Authors
Shertzer, J.
(College of the Holy Cross Worcester, MA, United States)
Temkin, A.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 21, 2013
Publication Date
January 1, 2003
Subject Category
Mathematical And Computer Sciences (General)
Meeting Information
XXII International Conference on Photonic, Electronic, and Atomic Collisions(Stockholm,)
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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