Momentum distribution, x-ray scattering factor, and off-diagonal electron density generated by a bare Coulomb potential in the nonrelativistic limit of a large number of closed shells

摘要

In earlier work, one of us displayed an exact Thomas-Fermi (TF) method for kinetic energy and other averages of the Compton profile for atomic closed shells in a bare Coulomb field. Here, we are also interested in the semiclassical TF-like method but now in relation to the momentum density itself in the limit of a large number of closed shells. Exact off-diagonal density matrices are also given explicitly, for both configuration and momentum spaces. Finally the x-ray scattering factor is discussed in relation to the Thomas-Fermi limit.