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Mathematical Wave Functions and 3D Finite Element Modelling of the Electron and Positron
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作者 Declan Traill 《Journal of Applied Mathematics and Physics》 2024年第4期1134-1162,共29页
The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric an... The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric and Magnetic fields. Also, every moving particle has a De Broglie wavelength determined by its mass and velocity. This paper shows that all of these properties of a particle can be derived from a single wave function equation for that particle. Wave functions for the Electron and the Positron are presented and principles are provided that can be used to calculate the wave functions of all the fundamental particles in Physics. Fundamental particles such as electrons and positrons are considered to be point particles in the Standard Model of Physics and are not considered to have a structure. This paper demonstrates that they do indeed have structure and that this structure extends into the space around the particle’s center (in fact, they have infinite extent), but with rapidly diminishing energy density with the distance from that center. The particles are formed from Electromagnetic standing waves, which are stable solutions to the Schrödinger and Classical wave equations. This stable structure therefore accounts for both the wave and particle nature of these particles. In fact, all of their properties such as mass, spin and electric charge, can be accounted for from this structure. These particle properties appear to originate from a single point at the center of the wave function structure, in the same sort of way that the Shell theorem of gravity causes the gravity of a body to appear to all originate from a central point. This paper represents the first two fully characterized fundamental particles, with a complete description of their structure and properties, built up from the underlying Electromagnetic waves that comprise these and all fundamental particles. 展开更多
关键词 ELECTRON POSITRON Wave function Solution Electromagnetic Spin Mass Charge Proof Fundamental Particle Properties Quantum Mechanics Classical Physics computer 3D Model Schrödinger Equation RMS KLEIN GORDON Electric magnetic Lorentz Invariant Hertzian vector Point potential Field Density Phase Flow Attraction REPULSION Shell Theorem Ehrenfest VIRIAL Normalization harmonic Oscillator
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鞍型和环型线圈单元偏转磁场的高次空间谐波函数
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作者 胡康燕 王莉萍 唐天同 《真空科学与技术》 EI CAS CSCD 北大核心 1999年第3期188-195,共8页
推导出了用多极场空间谐波函数表示的磁矢位的通项表达式。研究了两种典型的偏转线圈单元———鞍型线圈和环型线圈的空间偏转磁场分布函数。利用计算机代数符号推导系统 ,得到了其高次空间谐波函数 (多极场旁轴展开函数 )的解析表达式 。
关键词 电子光学 偏转线圈 磁矢位 空间谐波函数
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电力电缆谐波动态温升仿真计算 被引量:2
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作者 李陈莹 崔雪 +1 位作者 刘会金 汪颖翔 《武汉大学学报(工学版)》 CAS CSCD 北大核心 2015年第4期513-519,共7页
分析了国内外现有电缆谐波模型发展情况及其适用范围的局限性,进而提出利用热电拟合表征电缆有功损耗下的温升模型.为减少模型输入量,结合屏蔽层连接方式,引入谐波背景下电缆屏蔽层电流计算方法.综合考虑谐波情况下集肤效应、邻近效应... 分析了国内外现有电缆谐波模型发展情况及其适用范围的局限性,进而提出利用热电拟合表征电缆有功损耗下的温升模型.为减少模型输入量,结合屏蔽层连接方式,引入谐波背景下电缆屏蔽层电流计算方法.综合考虑谐波情况下集肤效应、邻近效应对磁场分布的影响,考虑多相电缆敷设方式,提出了一种新型的谐波损耗相结合的多相电缆谐波温升模型,该模型具有良好的收敛速度.最后,利用该模型对电缆谐波温升进行计算仿真,证明了模型的有效性和实用性. 展开更多
关键词 谐波 电力电缆 贝塞尔(Bessel)函数 温升模型 热电拟合 矢量磁位.
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