Clifford algebra in classical electrodynamical hydrogen atom model
type: Item
instance of: scholarly article
title: Clifford algebra in classical electrodynamical hydrogen atom model
zbMATH Open document ID: 0889.15025
DOI: 10.1007/BF03041213
author: V. M. Simulik
author: I. Yu. Krivsky
published in: Advances in Applied Clifford Algebras
publication date: 1998-06-22T00:00:00Z
review text: A new model for the hydrogen atom based on classical electrodynamics (i.e., based on the free Maxwell equations) is presented, where Sommerfeld's formula for the fine structure of the hydrogen atom is obtained. These results are possible due to the equivalence of the free Maxwell and Dirac equations which are valid for solutions of the free Maxwell equations with nonzero field invariants. The interested reader will benefit in studying also the references (\textit{J. Vaz jun.} and \textit{W. A. Rodrigues jun.} [Int. J. Theor. Phys. 32, No. 6, 945-959 (1993; Zbl 0788.53072)]; \textit{J. Vaz jun.} and \textit{W. A. Rodrigues jun.} [``Maxwell and Dirac theories as an already unified theory'', Adv. Appl. Clifford Algebr. 7, 369-386 (1997)], \textit{W. A. Rodrigues jun.} and \textit{J. Y. Lu} [``On the existence of undistorted progressive waves (UPWs) of arbitrary speeds \(0<v<\infty\) in nature'', Found. Phys. 27, 435-508 (1997)]).
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 15A90
Mathematics Subject Classification ID: 81V45
Mathematics Subject Classification ID: 81R25
zbMATH DE Number: 1091020
zbMATH Keywords: classical electrodynamical hydrogen atom model
zbMATH Keywords: free Maxwell equations
zbMATH Keywords: Dirac equations
reviewed by: Waldyr A. jun. Rodrigues
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf03041213
OpenAlex ID: W4237947938
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description: scientific article; zbMATH DE number 1091020