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光子结构的猜想及其数学仿真
引用本文:王伟,朱秉诚,薛敏迪.光子结构的猜想及其数学仿真[J].数学的实践与认识,2012,42(14):74-83.
作者姓名:王伟  朱秉诚  薛敏迪
作者单位:东南大学信息科学与工程学院,江苏南京,210000
摘    要:通过研究光的波粒二象性,对光子结构进行了研究并提出了自建光子模型.自建光子模型具有以下特性:①光子与原子核存在引力作用;②光子的电场与磁场交替变换使其具备了相位效应,且光强由光子数与光子相位和两个因素决定.在此基础上,通过借鉴天体物理中关于二体运动的三种轨迹,利用其中结论对大量原子核的引力作用进行概率分析,使用中心极限定理提出出射角度基本符合高斯分布的假设.接着对光子的相位叠加效应进行了分析.最后,对大量光子进行模拟仿真,并将仿真结果与单缝衍射、双缝干涉、多缝干涉现象等实验现象进行了对比.

关 键 词:波粒二象性  光子  中心极限定理  二体运动

A Conjecture of the Photon Structure and its Mathematical Simulation
WANG Wei , ZHU Bing-cheng , XUE Min-di.A Conjecture of the Photon Structure and its Mathematical Simulation[J].Mathematics in Practice and Theory,2012,42(14):74-83.
Authors:WANG Wei  ZHU Bing-cheng  XUE Min-di
Institution:(School of Information Science and Engineering,Southeast University,Nanjing 210000 China)
Abstract:This paper studies the photon structure through the phenomenon of Wave Particle Duality and proposes a photon model.This model has the following features:(1)Attractiveforce exists between the photon and nucleus;(2)The altering electromagnetic and magnetic fields equips the photon with phase and light intensity is determined by the number and phase of photons.Based on these hypotheses,the paper takes the celestial body movement for reference and analyses the photon distributionprobability.Then,according to the central limit theorem,we get the conclusion that the photons obey a Gaussian distribution. Besides,the superposition effects of photon phase are analyzed.Finally,computer simulation is carrier out to compare with the present optical experimental phenomena such as the single slit diffraction,double slit interference and multi-slit interference.
Keywords:wave particle duality  photon  central limit theorem  celestial body movement
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