For heavy atoms (large atomic number $Z$) described by no-pair operators in the Furry picture we find the ground state's leading energy correction. We compare the result with (semi-)empirical values and Schwinger's prediction showing more than qualitative agreement.
The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order
Asymptotics of the ground state energy of heavy molecules and related topics. II
Asymptotics of the ground state energy of heavy molecules in self-generated magnetic field
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