Abstract
An integral representation for the f-dimensional nonrelativistic Coulomb Green's function in momentum space and an expansion of this function in a series of Gegenbauer polynomials are obtained. It is shown that the momentum space representatives of the f-dimensional Coulomb Green's function and the related reduced Green's functions can be obtained by differentiation with respect to the momentum transfer of the corresponding functions in the one-dimensional (f odd) or two-dimensional (f even) case. Expressions in closed form are then obtained for the momentum space representatives in the one-dimensional case of the full Coulomb Green's function and of the general nth excited state reduced Coulomb Green's function.
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