Integral equation treatment of bound state atomic systems and collinear He - H2^+ proton transfer reactive collisions

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1971

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Abstract

A unique prescription is given for obtaining the Green function for N free particles which can have different masses. The approach is systematic and straightforward. A coordinate transformation of the Fourier integral representation of the N-particle noninteracting Green function facilitates the integration over 3N-1 angular variables of wave number space, using the orthogonal properties of Jacobi polynomials. A single radial integral can then be evaluated. The resulting Green function representation may be of use in applying the integral form of Schrödinger's equation to calculate the ground and excited states of atoms. [...]

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