A Griffin-Hill-Wheeler version of the Hartree-Fock (GHW-HF) equations is presented and applied to the He and Be atoms using both Slater and Gaussian orbitals. The kernels are evaluated analytically and the GHW-HF equations are solved by iteration. The integration for the generator coordinate is obtained by discretisation emphasizing the continuous character of the GHW formulation. The results with the Slater Is orbital for He reach the H F limit. When Gaussians are employed the results are better than published H F calculations with these orbitals.
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