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Calculation of the Full Scattering Amplitude without Partial Wave Decomposition II: Inclusion of ExchangeAs 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), which can be reduced to a 2d partial differential equation (pde), was solved using the finite element method. We have now included exchange by solving the resultant SE, in the static exchange approximation, which is reducible to a pair of coupled pde's. The resultant scattering amplitudes, both singlet and triplet, calculated as a function of energy are in excellent agreement with converged partial wave results.
Document ID
Document Type
Conference Paper
Shertzer, Janine
(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
Atomic And Molecular Physics
Meeting Information
Meeting: DAMOP 2003
Location: Boulder, CO
Country: United States
Start Date: May 21, 2003
End Date: May 24, 2003
Sponsors: American Physical Society
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