## On the Analytic Solution of the Schrödinger Equation for the Two-electron Atom |

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### Contents

A Critical Historical Survey | 5 |

The Hookes Law Model for the TwoElectron | 44 |

The OneDimensional Delta Function Model | 60 |

21 other sections not shown

### Common terms and phrases

Acta Berl actual two-electron atom analytic solution Appendix approximate assumed asymptotic form atomic units basis set boundary conditions Byers Brown C. A. Coulson C. W. Scherr calculation Chem chim cont'd convergence correlation energy Coulombic determined differential equations domain E. A. Hylleraas eigenvalue electron atom energy coefficients equation 27 exact solution expansion Fock Fock's formal solution given by equation ground state energy Hamiltonian Hartree-Fock Hartrees Helium Atom homogeneous equation Hooke's law atom Hooke's law model integral interaction Kinoshita logarithmic terms Lowdin lower bounds Math method metric variables Midtdal Non-relativistic numerical obtained order equation order wavefunction orthogonal parameters Perimetric Coordinates perturbation theory Phys Physik Pluvinage power series Proc quantum mechanics R. E. Knight radius of convergence Schrodinger equation Series Solution side of equation square-integrable Substitution Superposition of Configurations technique third order Three-Body Problem Two-Electron Systems V. A. Fock wave function Z-reduced units zero zeroth order