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- W2090631860 abstract "A Green's-function approach is used to solve the Schrodinger equation in an effective potential (${V}_{0}$), which is the sum of independent-atom static potentials. The equation for the Green's function is conveniently solved in momentum space (MS), where the MS potentials (Fourier transforms of the atom-centered potentials) have translational symmetry. The Green's function is then used to construct the solution to the Schrodinger equation for scattering in the potential $Vensuremath{-}{V}_{0}$ (where $V$ is the $e$-molecule static potential plus a local exchange potential) relative to scattering in ${V}_{0}$. This solution is found in coordinate space using single-center expansions about the internuclear midpoint. These are more rapidly convergent for $Vensuremath{-}{V}_{0}$ than for $V$ or ${V}_{0}$ alone. The sum of the amplitudes for scattering in ${V}_{0}$ and in $Vensuremath{-}{V}_{0}$ relative to ${V}_{0}$ then represents the amplitude for scattering from the molecule. This method is intended to combine the dynamical methods best suited for each type of potential (multicenter for ${V}_{0}$ and single center for $Vensuremath{-}{V}_{0}$). It also exposes the shortcomings of the use of ${V}_{0}$ alone." @default.
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- W2090631860 date "1984-01-01" @default.
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- W2090631860 title "Use of two-potential theory in electron-molecule scattering: Application to wide-anglee-H2scattering at 40 eV" @default.
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- W2090631860 doi "https://doi.org/10.1103/physreva.29.92" @default.
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