Clifford algebra in classical electrodynamical hydrogen atom model
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)]).
classical electrodynamical hydrogen atom model
scientific article; zbMATH DE number 1091020