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math-ph2024
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
Long Meng, Heinz Siedentop
We study atomic ground state energies for neutral atoms as the nuclear charge is large in the no-pair formalism. We show that for a large class of projections defining the unde…
math-ph2024
Relativistic Exchange Bounds
Long Meng, Heinz Siedentop, Matthias Tiefenbeck
We collect estimates of the exchange energy of the relativistic no-pair Hartree-Fock and Müller functional and use them to show the existence of a minimizer and stability of matte…