基于相对论的粒子波函数与实验分析

Particle Wave Function and Experimental Analysis Based on Relativity Theory

摘要: 薛定谔方程将普朗克常数h作为量子力学体系的特征量，在实践中不易精确求解。本文目的在于建立基于相对论的粒子波函数方程，直接用于粒子实验数据计算，描述粒子运动的物理实在。通过阐述粒子的波粒二重性，将粒子静止质量常数引入爱因斯坦运动粒子质能方程，将粒子的运动质量引入牛顿动能方程，提出相对论动量算符 、能量算符 和哈密顿量算符 ，将薛定谔方程修改为相对论粒子波函数方程。通过光子双缝洐射实验，指出光子在空气分子晶格中波动，通过双缝不对称能量场改变其折射率或反射率，从而检验证明相对论粒子波函数方程中的位置矢量r就是粒子波动路径矢量r。通过氢原子辐射实验数据，对氢原子的电子波函数与几率波进行检验，证明基于 的统计解释符合氢原子电子运动的物理实在。基于相对论的粒子波函数对量子物理的发展与应用将具有重要作用。

Abstract: The Schrödinger equation uses the Planck constant as a characteristic quantity of the quantum mechanical system and is not easily solved in practice. The purpose of this paper is to establish a particle wave function equation based on the theory of relativity, which can be directly used to calculate particle experimental data and describe the physical reality of particle motion. This paper expounds the wave-particle duality of particle, introduces the particle’s rest mass constant into Einstein’s mass-energy equation of moving particles, introduces the particles moving mass into Newtonian kinetic energy equation, and the relativistic momentum operator , energy operator and Hamiltonian operator are proposed, and the Schrödinger equation is modified to be the relativistic particle wave function equation. In this paper, photon double-slit shooting experiments show that photons fluctuating in the lattice of air molecules, change their refractive index or reflectivity through the double-slit asymmetric energy field, and test proves that the position vector in the relativistic particle wave function equation is the particle fluctuating path vector. Through experimental data of hydrogen atom radiation, the electron wave function and probability wave of hydrogen atom are tested, and that the statistical explanation based on is in line with the physical reality of electron motion of hydrogen atoms is proved. The relativistic particle wave function will play an important role in the development and application of quantum physics.