REMARKS ON THE ONE-PHOTON-PAIR ANNIHILATION IN STRONG MAGNETIC-FIELDS

We report specifically on a quantum electrodynamic feature of the one-photon-pair annihilation. Most of the calculation related with this process (not excluding other ones) have been carried out usually utilizing the wave functions obtained from the Dirac equation in the Landau gauge A(alpha) = (0, Bx, 0), where B is oriented along the z-axis (Johnson and Lippman, 1949). Although, the eigenstates of the Dirac Hamiltonian as it was introduced by Johnson and Lippman, do not consider the coupling to the radiation field and consequently they reflect only for p(z) = 0 the same linear combination of the two degenerate polarization states. We report the transition rate function for the one-photon-pair annihilation in a strong magnetic field by using the Sokolov and Ternov eigenstate /+/-] as far as p(z) = 0 and N > 0 is concerned. The difference between the expression for the transition rate by using the Sokolov and Ternov eigenstates and the one calculated by (Wunner et al., 1986), is just the function I(s,s') which corresponds to the degeneracy of the orbit center of the electrons characterized by the quantum numbers s and s'.