dorsal/arxiv
View SchemaOne Approach on Derivation of the Schrodinger Equation of Free Particle
| Authors | Shin-ichi Inage |
|---|---|
| Categories | |
| ArXiv ID | physics/0610097 |
| URL | https://arxiv.org/abs/physics/0610097 |
Abstract
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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"abstract": "The Schrodinger equation based on the de Broglie wave is the most fundamental\nequation of the quantum mechanics. There can be no doubt about it\u0027s prediction\nvalidity. However, the probabilistic interpretation on the quantum mechanics\nhas insoluble semantic interpretations like reduction of wave packet on\nobservations of physical values. Especially, it is not clear that the wave\nfunction which is described by complex function, is whether formality or\nreality to express the state of particle motion. On this paper, we interpret\nthe wave nature of particle as not the inherency of particle itself, but the\nmotional property of particle in fluctuated space-time due to the kinetic\nenergy and momentum the belief that the kinetic energy and momentum fluctuates\nthe microscopic space-time, and the particle move through the fluctuated\nspace-time adversely. Then, through the particle motion in the Euclidean\nspace-time, the particle will be recognized as if it has the wave nature. We\nestimate the governing equation of fluctuations of microscopic space-time based\non the macroscopic law of motion. On this paper, the equivalence between the\ngoverning equation and the Schrodinger equation is indicated.",
"arxiv_id": "physics/0610097",
"authors": [
"Shin-ichi Inage"
],
"categories": [
"physics.gen-ph"
],
"title": "One Approach on Derivation of the Schrodinger Equation of Free Particle",
"url": "https://arxiv.org/abs/physics/0610097"
},
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