推导自由粒子薛定谔方程的一种方法
One Approach on Derivation of the Schrodinger Equation of Free Particle
摘要：
以德布罗意波为基础的薛定谔方程是量子力学的最基本方程。毫无疑问，它的预测是正确的。然而，量子力学的概率解释具有不可解的语义解释，如物理值观测的波包约化。特别是用复变函数描述的波函数，是形式还是真实地表达粒子的运动状态，目前尚不清楚。本文认为粒子的波动性不是粒子本身的固有性质，而是粒子在涨落时空中由于动能和动量而产生的运动性质，认为动能和动量使微观时空发生涨落，粒子在涨落时空中逆向运动。然后，通过粒子在欧几里得时空中的运动，就可以认识到粒子具有波动性。我们根据宏观运动定律估计了微观时空涨落的控制方程。本文指出了控制方程与薛定谔方程的等价性。
英文摘要：
The Schrodinger equation based on the de Broglie wave is the most fundamental equation of the quantum mechanics. There can be no doubt about it's prediction validity. However, the probabilistic interpretation on the quantum mechanics has insoluble semantic interpretations like reduction of wave packet on observations of physical values. Especially, it is not clear that the wave function which is described by complex function, is whether formality or reality to express the state of particle motion. On this paper, we interpret the wave nature of particle as not the inherency of particle itself, but the motional property of particle in fluctuated space-time due to the kinetic energy and momentum the belief that the kinetic energy and momentum fluctuates the microscopic space-time, and the particle move through the fluctuated space-time adversely. Then, through the particle motion in the Euclidean space-time, the particle will be recognized as if it has the wave nature. We estimate the governing equation of fluctuations of microscopic space-time based on the macroscopic law of motion. On this paper, the equivalence between the governing equation and the Schrodinger equation is indicated.
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