# An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields

@article{Cooley1961AnIE, title={An improved eigenvalue corrector formula for solving the Schr{\"o}dinger equation for central fields}, author={James W. Cooley}, journal={Mathematics of Computation}, year={1961}, volume={15}, pages={363-374} }

1. Introduction. The wave equation for the nuclear motion of a diatomic molecule, in the Born-Oppenheimer approximation, is one which is encountered frequently in quantum-theoretical calculations. Numerical methods for its solution have been developed and used [1, 2, 3, 4] over many years for atomic problems where the potential is one obtained by Hartree-Fock self-consistent fields or the Thomas-Fermi-Dirac statistical field methods. Only relatively recently have computational techniques and…

## 1,061 Citations

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