A Method for Deriving Quantum Dynamic Equations from Classical Mechanics

Hua Ma
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引用次数: 1

Abstract

Based on the operator theories and Hamiltonian canonical equation, an operator based quantum dynamics equation is established, which has the same effect as the Hamiltonian equation in describing the state evolution of quantized dynamical systems. As the reasonable verification of this equation, Schrodinger equation can be derived theoretically, and the variational principle properties of quantum mechanics are revealed. This work will help to promote the development of quantum theory and to perfect the axiomatic system of quantum mechanics.
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从经典力学推导量子动力学方程的一种方法
基于算符理论和哈密顿正则方程,建立了一个基于算符的量子动力学方程,该方程在描述量子化动力系统的状态演化方面具有与哈密顿方程相同的效果。作为对该方程的合理验证,从理论上推导出了薛定谔方程,揭示了量子力学的变分原理性质。这项工作将有助于促进量子理论的发展,完善量子力学的公理体系。
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