Perturbative corrections for Hartree-Fock-like Algebraic Bethe Ansatz analogue

TL;DR

This paper develops perturbative corrections for an algebraic Bethe ansatz approach to electrons, highlighting the need for orbital optimization or configuration interaction singles to clarify ambiguous numerical results.

Contribution

It introduces Rayleigh Schrödinger perturbation theory corrections to the algebraic Bethe ansatz for electrons, providing two expressions for validation.

Findings

Numerical results are ambiguous without further optimization.

Two different expressions were computed to verify correctness.

Further work needed for conclusive results.

Abstract

Rayleigh Schr\"{o}dinger perturbation theory corrections are developed for an algebraic Bethe ansatz of individual electrons. Numerical results are ambiguous and would need either an orbital optimization or a configuration interaction singles solution to be satisfactory. Two different expressions are computed to be certain that results are correct.