论回旋电子与涡旋电磁波量子:涡旋电子波包OA北大核心CSTPCD

The theoretical model of cyclotron electrons to radiate vortex microwave photons is crucial for the technol-ogy of quantum state vortex electromagnetic wave.This paper is the first part of"The Vortex Electron and Vortex Micro-wave Photon",which establishes the theoretical model related to the"Vortex Electron Wave Packet".To be specific,the ra-diation of energy level transition is one of the natural radiations of a vortex electron.Aiming to analyze the principle of OAM vortex microwave photons generated by single vortex electron cyclotron radiation,this paper derives the vortex elec-tron wave function according to the conserved quantity of electrons in a constant magnetic field and analyzes the motion of the relativistic electron wave packet.This paper then explains the case where the spin angular momentum and orbital angu-lar momentum are inseparable by solving the Dirac equation.In addition,the Landau levels of the transverse energy distri-bution of the cyclotron in the magnetic field are obtained in the solution process according to the relativistic energy eigene-quation.Finally,This paper simulates the shape of the Landau energy level when the electron has the exact mode of the or-bital angular momentum.