Quantum Physics

    

Errors in the Quantum Mechanical Calculation of the Fine Structure Spectrum of the Hydrogen Atom

Authors: Jorma Jormakka

The article explains why the Quantum Mechanical derivation of the fine structure spectrum is incorrect. The main error is that in this derivation the substitution of the momentumto partial derivatives of space coordinates is not the same as in the non-relativistic case andtherefore the energy levels that are obtained are not energy levels for the relativistic Hamiltonian,they are energy levels for the non-relativistic Hamiltonian and different. If the error is corrected,the fine structure spectrum formula is not obtained correctly. There are also two other errors inthe Quantum Mechanical derivation.

Comments: 7 Pages.

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[v1] 2026-03-06 05:35:19

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