电子学报2025，Vol.53Issue(4)：1174-1181,8.DOI:10.12263/DZXB.20240455
论回旋电子与涡旋电磁波量子:内禀和外部轨道角动量
The Vortex Electron and Vortex Microwave Photon:The Intrinsic and Extrinsic Orbital Angular Momentum
摘要
Abstract
The theoretical model of cyclotron electron to radiate vortex electromagnetic wave photons is crucial for the technology of quantum state vortex electromagnetic wave.This paper is the part of"The Vortex Electron and Vortex electromagnetic wave Photon",which establishes the theoretical model related to the"The Intrinsic and Extrinsic Orbital Angular Momentum(OAM)".Single electron or electromagnetic wave photon can form vortices and are determined by their intrinsic OAM.Aiming to analyze the intrinsic OAM of a single electron transferring in the energy level transition radi-ation,the eigenvalues of the intrinsic OAM are calculated theoretically in different scenarios of free space and magnetic field in this paper.The results show that the intrinsic OAM is only determined by the electron wave packet,while the extrin-sic OAM is affected by the choice of coordinate system.When the quantum number in the intrinsic OAM is changed,the physical variation is the expansion or contraction of the electron wave packet.This paper also gives expressions for the in-trinsic OAM of electromagnetic wave photons in free space and the extrinsic OAM in twisted optical fiber.Depending on the presence of the intrinsic OAM,a mass of electromagnetic wave photons can constitute a quantum state OAM electro-magnetic wave and a statistical state OAM electromagnetic wave.关键词
能级跃迁辐射/涡旋电子/内禀OAM/朗道能级/相对论效应/量子态OAM电磁波Key words
energy level transition radiation/vortex electron/intrinsic OAM/Landau levels/relativity/quantum OAM electromagnetic waves分类
信息技术与安全科学引用本文复制引用
王哲远,张超..论回旋电子与涡旋电磁波量子:内禀和外部轨道角动量[J].电子学报,2025,53(4):1174-1181,8.基金项目
国家自然科学基金(No.62250070) National Natural Science Foundation of China(No.62250070) （No.62250070）
