Numerical solution of Schrödinger’s equation in polyatomic molecules

Abstract
We have developed a fully numerical, basis‐set‐free algorithm for solution of the Schrödinger single‐particle equation in polyatomic molecules. As a test of the algorithm, the Hartree–Fock energy of H+3 is computed and compared with previous momentum‐space benchmarks. The present calculations are the first successful basis‐set‐free calculations in coordinate space on a polyatomic molecular system.