韦伯原子核作为经典和量子力学系统的数学描述

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-25 DOI:10.1007/s13324-024-00891-5

Urs Frauenfelder, Joa Weber

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引用次数: 0

摘要

威廉-韦伯的电动力学是一种距离作用理论，具有在临界半径内等量电荷变得有吸引力的特性。临界半径内的韦伯电动力学可以解释为一个经典的哈密顿系统，但其动能是用洛伦兹度量来表示的。在本文中，我们将研究与这一哈密顿系统相关的薛定谔方程，并将其与韦尔的奇异斯特姆-刘维尔问题理论联系起来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A mathematical description of the Weber nucleus as a classical and quantum mechanical system

Wilhelm Weber’s electrodynamics is an action-at-a-distance theory which has the property that equal charges inside a critical radius become attractive. Weber’s electrodynamics inside the critical radius can be interpreted as a classical Hamiltonian system whose kinetic energy is, however, expressed with respect to a Lorentzian metric. In this article we study the Schrödinger equation associated with this Hamiltonian system, and relate it to Weyl’s theory of singular Sturm–Liouville problems.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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