Mapping between position and momentum densities by the local scaling method

A method of density mapping between position and momentum spaces is developed within the Hartree-Fock framework. The results are applied to the generation of momentum moments 〈${\mathit{p}}^{\mathit{n}}$〉 from the position density for the first- and second-row atoms in their ground states. For the given near-Hartree-Fock position density, the method reproduces the counterpart momentum moments with excellent accuracy, the error being less than 0.1% for the first-row atoms and 0.3% for the second-row atoms except for a few minor cases.