Agreed, the hamiltonian H = E + U is always the starting point of the theory, where E = gamma m c squared is the total relativistic energy. For a free particle H = E, but any elementary particle is always interacting with vacuum, so U is always non zero.
Sent: 29/01/2016 12:48:19 GMT Standard Time
Subj: Re: 339(1): Development of the Correct Theory of Spin Orbit Structure
To recapitulate the concept of potential energy in general relativity: the “relativistic” energy
gamma m c^2
contains the kinetic and rest energy only. Any potential energy has to be introduced as an extra energy. I assume that we used this consistently in this way in all earlier papers on Dirac and similar theory.
Am 25.01.2016 um 13:31 schrieb EMyrone:
This note suggest the development of the correct theory of spin orbit fine structure before going on to a new theory of the Lamb shift. Some computer algebra is needed to evaluate Eq. (19) for the Coulomb potential.