Relativistic effects in the thomas-fermi atom

This is the authors' abstract. We don't add key points for this paper.

Two methods of applying relativistic corrections to the Thomas–Fermi atom are considered, and numerical calculations are discussed. Radial charge distributions calculated from a relativistic Thomas–Fermi equation agree in gross form with those from more complicated self-consistent calculations. Energy eigenvalues for mercury, as determined from the relativistic Thomas–Fermi solution, are compared with other calculated and experimental values.