Yes, H is always a constant of motion and so del in Eq. (19) acts only on U(r) for a central potential energy. So f1(r) can be calculated.
Sent: 29/01/2016 13:08:35 GMT Standard Time
Subj: PS: Re: 339(1): Development of the Correct Theory of Spin Orbit Structure
PS: in eq.(21) the functions f(r) or f1(r) contain H. Therefore H appears on both sides of eqs.(12) of (10). One can construct an approximate solution as we did earlier.
Concerning the general form of f(r) in eq.(19): Does only U depend on r and can we assume that H is constant in general?
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.