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タイトルCalculation of the Full Scattering Amplitude without Partial Wave Decomposition II
著者(英)Temkin, A.; Shertzer, J.
著者所属(英)NASA Goddard Space Flight Center
発行日2003-01-01
言語eng
内容記述As 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.
NASA分類Mathematical and Computer Sciences (General)
権利No Copyright


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