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Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem

文献类型：期刊论文

作者Wakamatsu, Masashi4,5; Kitadono, Yoshio1; Zou, Liping3; Zhang, Pengming2
刊名ANNALS OF PHYSICS
出版日期2021-11-01
卷号434页码:26
关键词Landau problem Electron helical beam Canonical orbital angular momenta Gauge principle and observability Nucleon spin decomposition
ISSN号0003-4916
DOI10.1016/j.aop.2021.168647
通讯作者Wakamatsu, Masashi(wakamatu@post.kek.jp)
英文摘要As is widely-known, the eigen-functions of the Landau problem in the symmetric gauge are specified by two quantum numbers. The first is the familiar Landau quantum number n, whereas the second is the magnetic quantum number m, which is the eigen-value of the canonical orbital angular momentum (OAM) operator of the electron. The eigen-energies of the system depend only on the first quantum number n, and the second quantum number m does not correspond to any direct observables. This seems natural since the canonical OAM is generally believed to be a gauge-variant quantity, and observation of a gauge-variant quantity would contradict a fundamental principle of physics called the gauge principle. In recent researches, however, Bliokh et al. analyzed the motion of helical electron beam along the direction of a uniform magnetic field, which was mostly neglected in past analyses of the Landau states.
WOS关键词ELECTRON ; DYNAMICS ; MOTION ; SPIN
资助项目National Natural Science Foundation of China[11975320] ; National Natural Science Foundation of China[11805242] ; Chinese Academy of Sciences President's International Fellowship Initiative[2018VMA0030] ; Chinese Academy of Sciences President's International Fellowship Initiative[2018PM0028]
WOS研究方向Physics
语种英语
WOS记录号WOS:000729547500005
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
资助机构National Natural Science Foundation of China ; Chinese Academy of Sciences President's International Fellowship Initiative
源URL[http://119.78.100.186/handle/113462/140108]  
专题中国科学院近代物理研究所
通讯作者Wakamatsu, Masashi
作者单位1.Natl Chin Yi Univ Technol, Liberal Educ Ctr, 57,Sec 2,Zhongshan Rd, Taichung 41170, Taiwan
2.Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai 519082, Peoples R China
3.Sun Yat Sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Peoples R China
4.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
5.High Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, 1-1 Oho, Tsukuba, Ibaraki 3050801, Japan
推荐引用方式
GB/T 7714		 Wakamatsu, Masashi,Kitadono, Yoshio,Zou, Liping,et al. Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem[J]. ANNALS OF PHYSICS,2021,434:26.
APA Wakamatsu, Masashi,Kitadono, Yoshio,Zou, Liping,&Zhang, Pengming.(2021).Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem.ANNALS OF PHYSICS,434,26.
MLA Wakamatsu, Masashi,et al."Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem".ANNALS OF PHYSICS 434(2021):26.

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来源：近代物理研究所

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