Chin. Phys. Lett.  2014, Vol. 31 Issue (06): 063102    DOI: 10.1088/0256-307X/31/6/063102
ATOMIC AND MOLECULAR PHYSICS |
Calculation of Higher-Order Foldy-Wouthuysen Transformation Hamiltonian
MEI Xue-Song1, ZHAO Shu-Min2,3, QIAO Hao-Xue1**
1School of Physics and Technology, Wuhan University, Wuhan 430072
2College of Physics and Technology, Hebei University, Baoding 071000
3Division of Theoretical and Interdisciplinary Research, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
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MEI Xue-Song, ZHAO Shu-Min, QIAO Hao-Xue 2014 Chin. Phys. Lett. 31 063102
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Abstract

The Foldy–Wouthuysen Hamiltonian of a light atomic system that has an mα8 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 δ2(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.
Published: 26 May 2014
PACS:  31.30.jy (Higher-order effective Hamiltonians)  
  12.20.Ds (Specific calculations)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/31/6/063102       OR      https://cpl.iphy.ac.cn/Y2014/V31/I06/063102
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