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

  title={An improved eigenvalue corrector formula for solving the Schr{\"o}dinger equation for central fields},
  author={James W. Cooley},
  journal={Mathematics of Computation},
  • J. Cooley
  • Published 13 January 1961
  • Physics
  • Mathematics of Computation
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… 

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