Kouri, Donald J.2022-06-202022-06-20197117885719https://hdl.handle.net/10657/9497A 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. [...]application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital