光子的量子波动方程  

Quantum Wave Equation of Photon

作　　者：刘晗[1] 杨涪铨 潘庆 任明丽 郭义庆[2] 吴向尧[1] LIU Han;YANG Fuquan;PAN Qing;REN Mingli;GUO Yiqing;WU Xiangyao(College of Physics,Jilin Normal University,Siping 136000,Jilin Province,China;Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]吉林师范大学物理学院,吉林四平136000 [2]中国科学院高能物理研究所,北京100049

出　　处：《吉林大学学报（理学版）》2021年第2期379-383,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61275047);吉林师范大学科技创新基金(批准号:研创新201627).

摘　　要：给出外场中粒子的Lagrange函数及其Hamilton量的相对论表达式.令静止质量m 0=0,进一步给出光子的Hamilton量及光子在介质中的势能.在此基础上,给出自由和非自由光子的量子波动方程.用该方程可研究光在光子晶体中的量子色散关系及量子透射等特性.We gave the relativistic expression of Lagrangian function and Hamiltonian of particles in the external field.Let rest mass m 0=0,we further gave the Hamiltonian of photons and the potential energy of photons in the medium.On this basis,we gave the quantum wave equation of free and non-free photons,which could be used to study the quantum dispersion relation and quantum transmission of light in photonic crystals.

关 键 词：光子波函数 量子波动方程 光子晶体 

分 类 号：O436[机械工程—光学工程]