Relativistic Approximations for Quantization and Harmony in the Schrödinger Equation, and Why Mechanics Is Quantized

作     者：Antony J. Bourdillon Antony J. Bourdillon

作者机构：UHRL San Jose CA USA 

出 版 物：《Journal of Modern Physics》 (现代物理（英文）)

年 卷 期：2020年第11卷第12期

页      面：1926-1937页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Wave Packet Wave-Particle Duality Harmony Relativity Dispersion Dynamics 

摘      要：The initial purpose is to add two physical origins for the outstandingly clear mathematical description that Dirac has left in his Principles of Quantum Mechanics. The first is the “internal motion in the wave function of the electron that is now expressed through dispersion dynamics;the second is the physical origin for mathematical quantization. Bohr’s model for the hydrogen atom was “the greatest single step in the development of the theory of atomic structure. It leads to the Schrodinger equation which is non-relativistic, but which conveniently equates together momentum and electrostatic potential in a representation containing mixed powers. Firstly, we show how the equation is expansible to approximate relativistic form by applying solutions for the dilation of time in special relativity, and for the contraction of space. The adaptation is to invariant “harmonic events that are digitally quantized. Secondly, the internal motion of the electron is described by a stable wave packet that implies wave-particle duality. The duality includes uncertainty that is precisely described with some variance from Heisenberg’s axiomatic limit. Harmonic orbital wave functions are self-constructive. This is the physical origin of quantization.