Electronic excitation of atoms and molecules by electron impact in a linear algebraic, separable potential approach

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Abstract
The authors apply the linear algebraic, separable potential approach to the electronic excitation of atoms and molecules by electron impact. By representing the exchange and off-diagonal direct terms on a basis, they reduce the standard set of coupled inelastic equations to a set of elastic inhomogeneous equations. This procedure greatly simplifies the formulation by allowing a large portion of the problem to be handled by standard bound-state techniques and by greatly reducing the order of the scattering equations that must be solved. Application is made to the excitation of atomic hydrogen in the three-state close-coupling (1s, 2s, 2p) approximation.