Quantum Physics

   

Explaining the Spin, Zeeman Effect and Lamb Shift in Sommerfeld's Atomic Mode

Authors: Jorma Jormakka

It is claimed in Quantum Mechanics that Sommerfeld's atomic model is inable todescribe the full spectrum of hydrogen. This claim is justified by stating that Sommerfeld'satomic model cannot describe spin in the fine structure formula and that it cannot explainthe Zeeman effect. Both claims are shown incorrect in the article. The article points totwo serious errors in the Quantum Mechanical derivation of the fine structure spectrum formula and the Zeeman effect. The first is that there is a confusion of angular momentum andradial momentum: these effects are effects of radial momentum. The operators $J$ and $L$ inQuantum Mechanics, given as angular momentums, are actually radial momentums both in the finestructure spectrum formula and in the Zeeman effect energy levels. The second error is inthe calculation of eigenvalues of a sum of operators as the sum of the eigenvalues of the summandoperators. The last section commentson the last claimed gap in Sommerfeld's atomic model: that it cannot explain the Lamb shift.It is argued that the explanation of the Lamb shift in Quantum Mechanics is not a valid explanation asQuantum Field Theory is shown incorrect by the anomalous magnetic moment of an electron.In Sommerfeld's atomic model the states $2S_{1/2}$ and $2P_{1/2}$ have different eccentricity andtherefore different energy level.

Comments: 12 Pages.

Download: PDF

Submission history

[v1] 2026-03-24 10:02:15

Unique-IP document downloads: 69 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus