By Bo Lehnert
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47) = 1 + δM , δM = q 0 s0 2πf0 which shows excellent agreement with experiments. Here the unity term of the right-hand member is due to Dirac who obtained the correct Land´e factor by considering the electron to be situated in an imposed external magnetic field. This leads to a magnetic moment being twice as large as that expected from an elementary proportionality relation between the electron spin and the magnetic moment21. Further, in Eq. 47) the term δM is a small quantum mechanical correction due to Schwinger and Feynman, as obtained from an advanced analysis where the electron is considered to emit and absorb a photon during its way from one place to another.
21) as a self-consistent analytical formulation, in terms of the densities g and wf of momentum and energy given by Eqs. 25). A special but important question concerns the momentum of the pure radiation field. In conventional QED this momentum is derived from a plane-wave representation and the Poynting vector23,33. 19) have an analogous rˆole, in cases where the volume force in Eq. 16) vanishes or can be neglected. 16) there is a total local volume force f = ρ¯ (E + C × B) . 33) This force would generally come out to be nonzero in the vacuum when there is an extra degree of freedom in the form of a nonzero electric field divergence.
54) becomes A¯M = kM A¯q , kM = (1 + δM ) . 58) Fourth, the flux factor has to be determined in a self-consistent way, by satisfying both Eq. 55) and Eq. 52). This implies that f¯Γ = ¯1 + Ψ ¯ 2) − Ψ ¯0 2(Ψ A¯s = . 59) Fifth, the flux factor obtained from the last member of this equation Chapter 6 A Model of the Electron 61 also has to be related to the normalized charge q¯∗ when the iteration procedure converges. With this set of equations the iteration procedure can be performed according to the following scheme: • One first assumes some plausible initial values of q ∗ and h0 which both are of the order of unity; • With these values Eq.