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The non-relativistic electronic Hamiltonian, H(a)= Hkin + Hne + aHee,extended with coupling strength parameter (a), allows to switch theelectron-electron repulsion energy off and on. First, the easier a=0 case issolved and the solution of real (physical) a=1 case is generated thereafterfrom it to calculate the total electronic energy (Etotal electr,K) mainly forground state (K=0). This strategy is worked out with utilizing generalizedMoller-Plesset (MP), square of Hamiltonian (H2) and Configuration interactions(CI) devices. Applying standard eigensolver for Hamiltonian matrices (one ortwo times) buys off the needs of self-consistent field (SCF) convergence inthis algorithm, along with providing the correction for basis set error andcorrelation effect. (SCF convergence is typically performed in the standardHF-SCF/basis/a=1 routine in today practice.)

Solving the non-relativistic electronic Schrodinger equation with  manipulating the coupling strength parameter over the electron-electron  Coulomb integrals