Gill, Peter M. W.; Loos, Pierre-François; Agboola, Davids
We introduce a new basis function (the spherical Gaussian) for electronic structure calculations
on spheres of any dimension D. We find general expressions for the one- and two-electron integrals
and propose an efficient computational algorithm incorporating the Cauchy-Schwarz bound.
Using numerical calculations for the D = 2 case, we show that spherical Gaussians are more
efficient than spherical harmonics when the electrons are strongly localized.
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