Solution by Recursion of the N -Body Electrostatic Schrödinger Equation

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Abstract
A generalized partial wave expansion of atomic wavefunctions has been shown to allow exact solution of the many-electron Schrödinger equation. This solution is constructed here by an algebraic recursion method, and several analytical properties of such wave-functions are easily obtained. Eigenstates of the atom correspond to such solutions which satisfy certain boundary conditions for infinite extension of the system. A method of locating these states is presented.