Towards a Method for the Accurate Solution of the Schrödinger Wave Equation in Many Variables. III. Application of the General Method to the Wave Equation without Spatial Symmetry

Abstract

The method of Part I is applied to the problem of finding the lowest antisymmetric eigenfunction of the wave equation for n electrons without spatial symmetry, and the lowest antisymmetric eigenfunction of given multiplicity. Knowledge of the multiplicity of the ground state is not needed. Theorem 3 of Part I, which proves the equivalence of the central stationary condition to a minimum condition, is extended to cover the present case.