对氢原子中电子能量和波函数的新认识
New Reflections on Electron's Energy and Wavefunction in the Hydrogen Atom
摘要:
薛定谔方程预言了氢原子中电子的一些非常特殊的性质:它的总能量必须等于零。不幸的是,在已发表的文献中还没有尝试对氢原子中电子的零能量波函数进行分析。本文首次提供了这样的分析,并揭示了一些有趣的事实,包括“零能量波函数”实际上是几十年来已知的经典波函数的量子化版本。
英文摘要:
Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not been attempted in the published literature. This paper provides such an analysis for the first time and uncovers a few interesting facts, including the fact that a "zero-energy wavefunction" is actually a quantized version of the classical wavefunction that has been known for decades.
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