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On the Derivation of the Schrodinger equation

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Figshare2017-07-25 更新2026-04-08 收录
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The Schr odinger equation is one of the most vigorous achievements of physics in the twenty centuries. Unfortunately, the original derivation has not yet been fully understood since it was not established from mathematical framework of Quantum Mechanics. Perhaps, the equation in and of itself is so fundamental like the Newton's three laws of motion. In this paper, we present an approximate approach to constructing the equation by manipulating the analogue of the classical wave model and ideals of quantisation. We also explain why this derivation is only an approximation.

薛定谔方程(Schrödinger equation)是二十世纪物理学最具开创性的成就之一。遗憾的是,其原始推导过程至今尚未得到完全阐释,原因在于它并非基于量子力学(Quantum Mechanics)的数学框架构建而成。该方程本身或许正如牛顿运动三定律一样,属于极为基础的物理规律。本文提出一种近似推导路径:通过类比经典波动模型并结合量子化思想来构建该方程,同时阐释了为何此类推导仅能作为近似方法。

创建时间:
2016-05-10
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