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Position and spin in relativistic quantum mechanics

文献类型：期刊论文

作者Zou, Liping1; Zhang, Pengming2; Silenko, Alexander J.1,3,4
刊名PHYSICAL REVIEW A
出版日期2020-03-26
卷号101期号:3页码:19
ISSN号2469-9926
DOI10.1103/PhysRevA.101.032117
通讯作者Zou, Liping(zoulp@impcas.ac.cn) ; Zhang, Pengming(zhangpm5@mail.sysu.edu.cn) ; Silenko, Alexander J.(alsilenko@mail.ru)
英文摘要The problem of the position and spin in relativistic quantum mechanics is analyzed in detail. It is definitively shown that the position and spin operators in the Foldy-Wouthuysen representation (but not in the Dirac one) are quantum-mechanical counterparts of the classical position and spin variables. The probabilistic interpretation is valid only for Foldy-Wouthuysen wave functions. The relativistic spin operators are discussed. The spin-orbit interaction does not exist for a free particle if the conventional operators of the orbital angular momentum and the rest-frame spin are used. Alternative definitions of the orbital angular momentum and the spin are based on noncommutative geometry, do not satisfy standard commutation relations, and can allow the spin-orbit interaction.
WOS关键词FOLDY-WOUTHUYSEN REPRESENTATION ; DIRAC-EQUATION ; BERRY PHASE ; BOSONIC SYMMETRIES ; ELECTRON-DENSITY ; PARTICLES ; OPERATOR ; ZITTERBEWEGUNG ; POLARIZATION ; OBSERVABLES
资助项目Belarusian Republican Foundation for Fundamental Research[Phi18D002] ; National Natural Science Foundation of China[11975320] ; National Natural Science Foundation of China[11805242] ; Chinese Academy of Sciences President's International Fellowship Initiative[2019VMA0019] ; Institute of Modern Physics of the Chinese Academy of Sciences
WOS研究方向Optics ; Physics
语种英语
WOS记录号WOS:000522063800001
出版者AMER PHYSICAL SOC
资助机构Belarusian Republican Foundation for Fundamental Research ; National Natural Science Foundation of China ; Chinese Academy of Sciences President's International Fellowship Initiative ; Institute of Modern Physics of the Chinese Academy of Sciences
源URL[http://119.78.100.186/handle/113462/140641]  
专题中国科学院近代物理研究所
通讯作者Zou, Liping; Zhang, Pengming; Silenko, Alexander J.
作者单位1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
2.Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai 519082, Peoples R China
3.Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
4.Belarusian State Univ, Res Inst Nucl Problems, Minsk 220030, BELARUS
推荐引用方式
GB/T 7714		 Zou, Liping,Zhang, Pengming,Silenko, Alexander J.. Position and spin in relativistic quantum mechanics[J]. PHYSICAL REVIEW A,2020,101(3):19.
APA Zou, Liping,Zhang, Pengming,&Silenko, Alexander J..(2020).Position and spin in relativistic quantum mechanics.PHYSICAL REVIEW A,101(3),19.
MLA Zou, Liping,et al."Position and spin in relativistic quantum mechanics".PHYSICAL REVIEW A 101.3(2020):19.

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来源：近代物理研究所

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