The fine structure of Weber's hydrogen atom: Bohr-Sommerfeld approach

Frauenfelder, Urs; Weber, Joa

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The fine structure of Weber's hydrogen atom: Bohr-Sommerfeld approach

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Author(s):	Frauenfelder, Urs ^[1] ; Weber, Joa ^[2] Total Authors: 2
Affiliation:	^[1] Univ Augsburg, Augsburg - Germany ^[2] Univ Estadual Campinas, Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 70, n. 4 AUG 2019.
Web of Science Citations:	0
Abstract
In this paper, we determine in second order in the fine structure constant the energy levels of Weber's Hamiltonian that admit a quantized torus. Our formula coincides with the formula obtained by Wesley using the Schrodinger equation for Weber's Hamiltonian. We follow the historical approach of Sommerfeld. This shows that Sommerfeld could have discussed the fine structure of the hydrogen atom using Weber's electrodynamics if he had been aware of the at-his-time-already-forgotten theory of Wilhelm Weber (1804-1891). (AU)

FAPESP's process:	17/19725-6 - Curve shortening flows and applications
Grantee:	Joachim Weber
Support Opportunities:	Regular Research Grants

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