摘要
The Foldy-Wouthuysen Hamiltonian of a light atomic system that has an ma^8 contribution to energy levels is calculated. The case of a Dirac-Coulomb field is discussed. The results can be used for relativistic and radiative corrections to energy levels in the low-energy part. A divergent operator δ^2（r） emerges. This is probably due to the nature of the point-like charge source. The effective method of radiation calculation may be re-checked.
The Foldy-Wouthuysen Hamiltonian of a light atomic system that has an ma^8 contribution to energy levels is calculated. The case of a Dirac-Coulomb field is discussed. The results can be used for relativistic and radiative corrections to energy levels in the low-energy part. A divergent operator δ^2（r） emerges. This is probably due to the nature of the point-like charge source. The effective method of radiation calculation may be re-checked.
基金
Supported by Natural Science Foundation of China under Grant No 11274246, the National Basic Research Program of China under Grant No 2010CB832803, and the Open Program of State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, under Grant T151101.
