On the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom

It was demonstrated recently that the correct mathematical expression for the total energy H of a particle is H=mv^2, where m is the relativistic mass and v is the 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