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Direct Calculation of the Scattering Amplitude Without Partial Wave AnalysisTwo new developments in scattering theory are reported. We show, in a practical way, how one can calculate the full scattering amplitude without invoking a partial wave expansion. First, the integral expression for the scattering amplitude f(theta) is simplified by an analytic integration over the azimuthal angle. Second, the full scattering wavefunction which appears in the integral expression for f(theta) is obtained by solving the Schrodinger equation with the finite element method (FEM). As an example, we calculate electron scattering from the Hartree potential. With minimal computational effort, we obtain accurate and stable results for the scattering amplitude.
Document ID
Document Type
Preprint (Draft being sent to journal)
Shertzer, J.
(College of the Holy Cross Worcester, MA United States)
Temkin, A.
(NASA Goddard Space Flight Center Greenbelt, MD United States)
Fisher, Richard R.
Date Acquired
August 20, 2013
Publication Date
January 1, 2001
Subject Category
Atomic And Molecular Physics
Meeting Information
Meeting: Atomic Physics
Location: CT
Country: United States
Start Date: April 1, 2001
Distribution Limits
Work of the US Gov. Public Use Permitted.

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