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

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 \(\alp...

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Veröffentlicht in:arXiv.org 2006-03
Hauptverfasser: Cassanas, Roch, Siedentop, Heinz
Format: Artikel
Sprache:eng
Schlagworte:
Energy levels
Ground state
Quantum electrodynamics
Quantum theory
Relativism
Relativistic effects
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0603079