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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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基于平面线圈的基波脉振磁场构造方法研究 被引量:4
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作者 黄奔 彭东林 +1 位作者 武亮 张天恒 《传感技术学报》 CAS CSCD 北大核心 2015年第10期1476-1481,共6页
为了减小电磁式时栅位移传感器的原始误差,提出了一种基于平面线圈的基波脉振磁场构造方法。通过研究现有电磁式时栅磁场构造方法和平面线圈磁场分布特性,利用各次谐波畸变率THD(Total Harmonic Distortion)最小的优化算法,得到平面线... 为了减小电磁式时栅位移传感器的原始误差,提出了一种基于平面线圈的基波脉振磁场构造方法。通过研究现有电磁式时栅磁场构造方法和平面线圈磁场分布特性,利用各次谐波畸变率THD(Total Harmonic Distortion)最小的优化算法,得到平面线圈最优化布置参数,并且在数值分析和有限元分析软件中得到了验证。根据这些参数设置,设计了基于多匝方形平面线圈的新型电磁式时栅位移传感器。在150 mm量程内,新型时栅原始误差为-32μm^23μm,较现有电磁式时栅位移传感器减小了42.3%。 展开更多
关键词 基波脉振磁场 平面线圈 谐波畸变率 电磁式时栅
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