# Uniform electron gases. III. Low-density gases on three-dimensional spheres.

@article{Agboola2015UniformEG, title={Uniform electron gases. III. Low-density gases on three-dimensional spheres.}, author={Davids Agboola and Anneke L Knol and Peter M. W. Gill and Pierre-François Loos}, journal={The Journal of chemical physics}, year={2015}, volume={143 8}, pages={ 084114 } }

By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin electrons on a three-dimensional sphere (3-sphere), i.e., the surface of a four-dimensional ball. In the VMC calculations, we compare the efficacies of two types of one-electron basis functions for these strongly correlated systems and analyze the energy convergence with respect to the quality of the Jastrow factor…

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