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Calculation of Scattering Amplitude Without Partial AnalysisThere was a method for calculating the whole scattering amplitude, f(Omega(sub k)), directly. The idea was to calculate the complete wave function Psi numerically, and use it in an integral expression for f, which can be reduced to a 2 dimensional quadrature. The original application was for e-H scattering without exchange. There the Schrodinger reduces a 2-d partial differential equation (pde), which was solved using the finite element method (FEM). Here we extend the method to the exchange approximation. The S.E. can be reduced to a pair of coupled pde's, which are again solved by the FEM. The formal expression for f(Omega(sub k)) consists two integrals, f+/- = f(sub d) +/- f(sub e); f(sub d) is formally the same integral as the no-exchange f. We have also succeeded in reducing f(sub e) to a 2-d integral. Results will be presented at the meeting.
Document ID
20020082878
Document Type
Conference Paper
Authors
Temkin, Aaron
(NASA Goddard Space Flight Center Greenbelt, MD United States)
Shertzer, J.
(Holy Cross Coll. Worcester, MA United States)
Fisher, Richard R.
Date Acquired
August 20, 2013
Publication Date
January 1, 2002
Subject Category
Physics (General)
Meeting Information
Division of Atomic, Molecular and Optical Physics Meeting of the American Physical Society(Williamsburg, VA)
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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