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 H3+ 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. © 1990 American Institute of Physics.