Global Van-Cong Effective Kinetic, Colombian Potential, and Total Energies, Obtained in Electron-Photon Interactions, Given in the Ionized Hydrogen Atom, and Enhanced by Empirical Global Effective Kinetic Electron Mass-and-Charge, Expressed as Functions of Any Electron Speed (42)

In this work, we present the new expressions of global effective kinetic, Colombian potential and total energies, obtained in electron-photon interactions, given in the ionized hydrogen atom, and enhanced by a new global effective kinetic electron mass-and-charge, expressed as functions of any electron speed v. Some concluding remarks are given as follows. At the low speed v (<< c), c being the light speed, given in the non-relativistic case, they are found to be correct, since the numerical results of our global effective total energy, obtained in Eq. (14), for any orbital electron quantum number n and p>0, are found to be approximately equal to the corresponding ones of the ground state Schrodinger energy, determined in Eq. (7), with a high precision, as shown in Table 1. Finally, at v=c, given in the relativistic case, the kinetic energy is found to be equal to: m×c^2×[(2+p)/4], for p>0, and, in particular, for p=2, to: m×c^2, in good accordance with that proposed by Einstein in 1905[2], as shown in Tables 2-7.