High-order Hamiltonian obtained by Foldy-Wouthuysen transformation up to the order of mα^(8)  

作　　者：陈彤 梅雪松 周挽平 乔豪学 Tong Chen;Xuesong Mei;Wanping Zhou;Haoxue Qiao(School of Physics and Technology,Wuhan University,Wuhan 430072,China;Wuhan Maritime Communication Research Institute,Wuhan 430072,China;School of Physics and Telecommunications,Huanggang Normal University,Huanggang 438000,China)

机构地区：[1]School of Physics and Technology,Wuhan University,Wuhan 430072,China [2]Wuhan Maritime Communication Research Institute,Wuhan 430072,China [3]School of Physics and Telecommunications,Huanggang Normal University,Huanggang 438000,China

出　　处：《Chinese Physics B》2023年第8期260-269,共10页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12074295 and 12104420)。

摘　　要：Complete relativistic corrections of an effective Hamiltonian for a single-particle system in an external electromagnetic field and their unitary equivalent form up to the order of mα^(8) are obtained.The derivation is based on two approaches applying Foldy-Wouthuysen(FW)transformation to the Dirac Hamiltonian for a particle in an external electromagnetic field.The results are consistent with the previous work at the mα^(6) and mα^(8) order correction[Phys.Rev.A 71012503(2005);Phys.Rev.A 100012513(2019)].We also further consider the effect of anomalous magnetic moments,namely,the Dirac-Pauli equation,and obtain FW-Hamiltonians at the same order.The results obtained can be used for the subsequent calculation of relativistic and radiation effects in simple atomic and molecular systems.

关 键 词：high-order correction relativistic corrections Foldy-Wouthuysen(FW)transformation effective Hamiltonians 

分 类 号：O412.1[理学—理论物理]