Basis functions for electronic structure calculations on spheres
  We introduce a new basis function (the spherical gaussian) for electronic structure calculations on spheres of any dimension $D$. We find \alert{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. 
Peter M.W. Gill and Pierre-Fran\c{c}ois Loos and Davids Agboola
physics.chem-ph cond-mat.other cond-mat.str-el