On the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom
General Physics
2015-06-26 v2
Abstract
The recently introduced reconciliation of the theories of special relativity and wave mechanics implies that the mass-energy equivalence principle must be expressed mathematically as H = mv^2, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity; not H = mc^2 as was widely believed. In this paper, the equation H = mv^2 will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the well-known Sommerfeld-Dirac formula is still obtained, but without the constant term m_0 c^2 that was originally present in the formula.
Keywords
Cite
@article{arxiv.physics/0207107,
title = {On the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom},
author = {Ezzat G. Bakhoum},
journal= {arXiv preprint arXiv:physics/0207107},
year = {2015}
}
Comments
V2: added a few comments in response to the questions that I received