General quantum-mechanical solution for twisted electrons in a uniform magnetic field

doi:10.1103/PhysRevA.103.L010201

	General quantum-mechanical solution for twisted electrons in a uniform magnetic field
	Zou, Liping 3,5; Zhang, Pengming 2; Silenko, Alexander J.1,4,5
刊名	PHYSICAL REVIEW A
	2021-01-06
卷号	103 期号:1 页码:7
ISSN号	2469-9926
DOI	10.1103/PhysRevA.103.L010201
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	A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The obtained general quantum-mechanical solution of the relativistic paraxial equation contains the commonly accepted result as a specific case of unstructured electron waves. Unlike all precedent investigations, the present study describes structured electron states which are not plane waves along the magnetic field direction. In the weak-field limit, our solution (unlike the existing theory) is consistent with the well-known equation for free twisted electron beams. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted. Distinguishing features of the quantization of the velocity and the effective mass of the Laguerre-Gauss and Landau electrons in the uniform magnetic field are analyzed.
资助项目	Belarusian Republican Foundation for Fundamental Research[18D002] ; 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关键词	ORBITAL ANGULAR-MOMENTUM ; BOSONIC SYMMETRIES ; DIRAC-EQUATION ; VORTEX BEAMS ; TRANSFORMATION ; PARTICLES
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000605459500006
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
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/138211]
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.Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia 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.Belarusian State Univ, Res Inst Nucl Problems, Minsk 220030, BELARUS 5.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Zou, Liping,Zhang, Pengming,Silenko, Alexander J.. General quantum-mechanical solution for twisted electrons in a uniform magnetic field[J]. PHYSICAL REVIEW A,2021,103(1):7.
APA	Zou, Liping,Zhang, Pengming,&Silenko, Alexander J..(2021).General quantum-mechanical solution for twisted electrons in a uniform magnetic field.PHYSICAL REVIEW A,103(1),7.
MLA	Zou, Liping,et al."General quantum-mechanical solution for twisted electrons in a uniform magnetic field".PHYSICAL REVIEW A 103.1(2021):7.