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arXiv math-ph/0603079math-phmath.MP
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Brown和Ravenhall重原子的基态能量:首序中相对论效应的缺失

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

Roch Cassanas, Heinz Siedentop

摘要:

结果表明,重原子的基态能量在首阶前由非相对论的费米子能量给出。证明是基于布朗和Ravenhall的相对论性哈密顿量,它是从量子电动力学产生的能级正确的顺序为$α^2$ Ry。

英文摘要:

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 $α^2$Ry.

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