Abstract
We present the results of self-consistent calculations for the exchange and total energies for several heavy atoms based on the local relativistic density functional theory. Our calculations clearly demonstrate the importance of transverse photon-electron interaction to the exchange processes. The calculated total energies for all the atoms agree extremely well with that of the nonlocal Dirac-Fock calculations. It is found that the exchange energy is proportional to Z1.6. The commonly used nonrelativistic Slater Xα exchange potential in the Dirac equation overestimates the exchange contribution to the total energy.
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