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arXiv 2609.23813physics.class-ph

玻尔光谱的经典电磁推导

Classical Electromagnetic Derivation of the Bohr Spectrum

  • City College of the City University of New York(纽约市立大学城市学院)

机构由 AI 辅助整理,请以论文原文为准。

Timothy H. Boyer

AI总结:

本文利用包含洛伦兹不变零点辐射的经典电动力学,推导出库仑势中带电粒子的玻尔能级,指出激发态对应作用量整数值,并强调辐射发射与吸收的共振平衡。

AI中文摘要:

包括洛伦兹不变的经典电磁零点辐射在内的经典电动力学,为库仑势中的带电粒子提供了一个基态和共振激发态。这些共振态对应于作用量的整数值,类似于玻尔氢原子理论中出现的那些值。因此,存在对玻尔能级的纯经典电磁推导。根据经典电磁理论,并非存在带电粒子不辐射的态,而是在这些态中,辐射发射与吸收之间存在共振平衡。此处报道的关于经典零点辐射的工作是1975年发表分析的延续,但增加了相对论以及带电粒子轨道与经典零点辐射之间共振的思想。

英文摘要:

Classical electrodynamics including Lorentz-invariant classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant states correspond to integer values of the action variables analogous to those appearing in the Bohr theory of the hydrogen atom. Thus there is a purely classical electromagnetic derivation of the Bohr energy levels. According to classical electromagnetic theory, it is not that there are states where the charged particle does not radiate, but rather in these states there is a resonant balance between radiation emission and absorption The work on classical zero-point radiation reported here is a continuation of the analysis published in 1975, but with the addition of the ideas of relativity and resonance between the charged-particle orbit and classical zero-point radiation.

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