Self-consistent calculation of 1s2s1S state wave function of helium

A simple self consistent variation perturbation method in the coupled Hartree–Fock scheme has been proposed to calculate 1s2s ¹S state of the He atom. The present paper deals with an 1s2s ¹S wave function in which all the relevant orthogonality conditions are imposed in successive stages. The resulting wave functions together with some interesting features are discussed.