9. Ezzat G. Bakhoum, On the Equation H = mv2 and the Fine Structure of the Hydrogen Atom

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Volume 15: Pages 439-443, 2002

On the Equation H = mv2 and the Fine Structure of the Hydrogen Atom

Ezzat G. Bakhoum

New Jersey Institute of Technology, P.O. Box 305, Marlton, New Jersey 08053 U.S.A.

The recent [Phys. Essays 15, 1 (2002)] reconciliation of the theories of special relativity and wave mechanics implies that the massenergy equivalence principle must be expressed mathematically as H = mv2, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity, not as H = mc2, as was widely believed. In this paper the equation H = mv2 will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the wellknown SommerfeldDirac formula is still obtained, but without the constant term m0c2 that was originally present in the formula.

Keywords: massenergy equivalence, atomic spectra, hydrogen spectrum, finestructure constant, SommerfeldDirac formula

Received: August 20, 2002; Published online: December 15, 2008