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.
Shertzer, Janine (College of the Holy Cross Worcester, MA, United States)
Temkin, A. (NASA Goddard Space Flight Center Greenbelt, MD, United States)