dorsal/arxiv
View SchemaTransformation Relation of Two Descriptive Systems between Quantum Mechanics and Classical Statistical Mechanics and Dynamic Foundation of Classical Statistical Physics
| Authors | Xiaochun Mei |
|---|---|
| Categories | |
| ArXiv ID | physics/9903030 |
| URL | https://arxiv.org/abs/physics/9903030 |
Abstract
Based on the concept of ensemble, it is proved in the manuscript that the probability amplitude function can also been used to describe the classical statistical system. The motion equations of probability amplitude functions of classical statistical system are obtained, which are similar to that in quantum mechanics. It is also proved in the meantime that microsystems that obey quantum mechanics can also be described in the forms of classical statistical mechanics and deterministic classical mechanics. The quantum revised formula of classical interaction force and the revised Liouville's equations are also obtained. In this way, the transformation of two descriptive forms between classical mechanics and quantum mechanics is achieved. A new and rational interpretation about quantum mechanics, including the meaning of wave function, the potential barrier penetration of microparticles, the Uncertainty relation, the wave-particle duality, the essence of spin and the Bell's inequality and so on, is provided in the paper. Based on the transformation, two fundamental hypotheses are put forward as the basic postulates of classical statistical physics. The equal probability hypothesis in the equilibrium states is given up. The united description of nonequilibrium state mechanics and equilibrium state statistical mechanics is reached, and the so-called reversibility paradox can also be eliminated.
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"abstract": "Based on the concept of ensemble, it is proved in the manuscript that the\nprobability amplitude function can also been used to describe the classical\nstatistical system. The motion equations of probability amplitude functions of\nclassical statistical system are obtained, which are similar to that in quantum\nmechanics. It is also proved in the meantime that microsystems that obey\nquantum mechanics can also be described in the forms of classical statistical\nmechanics and deterministic classical mechanics. The quantum revised formula of\nclassical interaction force and the revised Liouville\u0027s equations are also\nobtained. In this way, the transformation of two descriptive forms between\nclassical mechanics and quantum mechanics is achieved. A new and rational\ninterpretation about quantum mechanics, including the meaning of wave function,\nthe potential barrier penetration of microparticles, the Uncertainty relation,\nthe wave-particle duality, the essence of spin and the Bell\u0027s inequality and so\non, is provided in the paper. Based on the transformation, two fundamental\nhypotheses are put forward as the basic postulates of classical statistical\nphysics. The equal probability hypothesis in the equilibrium states is given\nup. The united description of nonequilibrium state mechanics and equilibrium\nstate statistical mechanics is reached, and the so-called reversibility paradox\ncan also be eliminated.",
"arxiv_id": "physics/9903030",
"authors": [
"Xiaochun Mei"
],
"categories": [
"physics.class-ph",
"physics.data-an",
"quant-ph"
],
"title": "Transformation Relation of Two Descriptive Systems between Quantum Mechanics and Classical Statistical Mechanics and Dynamic Foundation of Classical Statistical Physics",
"url": "https://arxiv.org/abs/physics/9903030"
},
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