Ground-State Solution of the Nonrelativistic Equation for Helium

1 July 1956

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 103 (1), 110-111
https://doi.org/10.1103/physrev.103.110

Abstract

By the inclusion of half-integral powers in the Hylleraas functions for the ground state of the helium atom, it is possible to obtain more rapid convergence in the Ritz variational method applied to the nonrelativistic Schrödinger equation (for infinite nuclear mass), as shown by results of calculations involving from four to thirteen parameters. The energy obtained with 13 parameters, -2.903719 a.u., is the lowest so far published. The coefficients for the normalized wave functions are given.

Keywords

This publication has 6 references indexed in Scilit:

Lower Bound to the Ground-State Energy and Mass Polarization in Helium-Like Atoms
Physical Review B, 1956
"Contact Interaction" in the Relativistic Energy of Two-Electron Atoms
Physical Review B, 1955
Energies of the Ground States of He, ${Li}^{+}$ , and $O^{6 +}$
Physical Review B, 1955
On the zero field fluctuation energy correction for the ground state of the helium atom
Physica, 1949
A Lower Limit for the Theoretical Energy of the Normal State of Helium
Physical Review B, 1938
On the Convergence of the Hylleraas Variational Method
Physical Review B, 1937

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