Relativistic quantum-mechanical description of twisted paraxial electron and photon beams

doi:10.1103/PhysRevA.100.030101

	Relativistic quantum-mechanical description of twisted paraxial electron and photon beams
	Silenko, Alexander J.1,2,3; Zhang, Pengming4 ; Zou, Liping1
刊名	PHYSICAL REVIEW A
	2019-09-18
卷号	100 期号:3 页码:8
ISSN号	2469-9926
DOI	10.1103/PhysRevA.100.030101
英文摘要	The analysis of twisted (vortex) paraxial photons and electrons is fulfilled in the framework of relativistic quantum mechanics. The use of the Foldy-Wouthuysen representation radically simplifies the description of relativistic electrons and clarifies the fundamental properties of twisted particles. It is demonstrated that the twisted and other structured photons are luminal. Their subluminality apparently takes place because the photon energy is also contributed by a hidden motion. This motion is vanished by averaging and disappears in the semiclassical description based on expectation values of the momentum and velocity operators. It is proven that semiclassical quanta of structured light are subluminal and massive. The quantum-mechanical and semiclassical descriptions of twisted and other structured electrons lead to similar results. The effect of a quantization of the velocity and the effective mass of the structured photon and electron is predicted. This effect is observable for the photon. The twisted and untwisted semiclassical photons and electrons modeled by the centroids are considered in the accelerated and rotating noninertial frame. The coincidence of their inertial masses with kinematic ones is shown. The orbital magnetic moment of the Laguerre-Gauss electron does not depend on the radial quantum number.
资助项目	Belarusian Republican Foundation for Fundamental Research[18D-002] ; National Natural Science Foundation of China[11975320] ; National Natural Science Foundation of China[11805242] ; National Key Research and Development Program of China[2016YFE0130800] ; Institute of Modern Physics of the Chinese Academy of Sciences
WOS关键词	ORBITAL ANGULAR-MOMENTUM ; FOLDY-WOUTHUYSEN TRANSFORMATIONS ; GAUSSIAN WAVE-PACKETS ; BOSONIC SYMMETRIES ; PHASE-VELOCITY ; DIRAC-EQUATION ; LASER-BEAM ; LIGHT ; POLARIZATION ; PARTICLES
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000486624300001
资助机构	Belarusian Republican Foundation for Fundamental Research ; National Natural Science Foundation of China ; National Key Research and Development Program of China ; 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/113462/132674]
专题	中国科学院近代物理研究所
通讯作者	Silenko, Alexander J.; Zhang, Pengming; Zou, Liping
作者单位	1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China 2.Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia 3.Belarusian State Univ, Res Inst Nucl Problems, Minsk 220030, BELARUS 4.Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai 519082, Peoples R China
推荐引用方式 GB/T 7714	Silenko, Alexander J.,Zhang, Pengming,Zou, Liping. Relativistic quantum-mechanical description of twisted paraxial electron and photon beams[J]. PHYSICAL REVIEW A,2019,100(3):8.
APA	Silenko, Alexander J.,Zhang, Pengming,&Zou, Liping.(2019).Relativistic quantum-mechanical description of twisted paraxial electron and photon beams.PHYSICAL REVIEW A,100(3),8.
MLA	Silenko, Alexander J.,et al."Relativistic quantum-mechanical description of twisted paraxial electron and photon beams".PHYSICAL REVIEW A 100.3(2019):8.