Title:  Asymptotics of the ground state energy for relativistic heavy atoms and molecules

Abstract: We discuss sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, without magnetic field or with the self-generated magnetic field, and, in particular,  relativistic Scott correction term and also Dirac, Schwinger and relativistic correction terms. In particular, we conclude that the Thomas-Fermi density approximates the actual density of the ground state, which opens the way to estimate the excessive negative and positive charges and the ionization energy.

http://weyl.math.toronto.edu/victor_ivrii_Publications/preprints/Talk_14.pdf