Mass-energy equation and the theory of photon emission derived from Bohr's theory

The Einstein's relativistic mass-energy equation ε = mc 2 is also obtained from Bohr's theory. The Schrödinger equation (SE) is modified using this equation. In the hydrogenlike atom, the modified SE is solved for consistency with the eigenvalues of electron's energy derived from the Dirac equation. Based on the consistency of their eigenvalues, the theory of photon emission is expressed. From this theory, an emission process different from bremsstrahlung is expressed. X-ray and gamma-ray bursts associated with thunderclouds and lightning are discussed by this process.