The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order

Details The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order

2006-03-29

arxiv.org/abs/math-ph/0603079v1

J. Phys. A 39 (2006), no. 33, 10405--10414

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/39/33/010

It is shown that the ground state energy of heavy atoms is, to leading order,
given by the non-relativistic Thomas-Fermi energy. The proof is based on the
relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum
electrodynamics yielding energy levels correctly up to order $\alpha^2$Ry.

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