A detailed investigation is made on the self-consistent determination of the vector potential due to a magnetic point dipole imbedded in a medium of degenerate free electrons. The Thomas-Fermi method shows that the screening by an induced electric current is Landau-diamagnetic, and practically negligible. A dynamical method is then applied to the same problem so as to investigate the effect of a flip motion of the point dipole on the screening. In this case another type of the screening arises which is due to the inability of some electrons to follow the non-adiabatic change of force induced by the flip motion. Some discussion is given of the discrepancy between the result and that of Abrahams, and of Bohm and Pines. The derived potential is used for the calculation of the spin lattice relaxation time in ferromagnetic metals, and Kasuya's estimation of its order of magnitude is proved to be reasonable. As to its temperature dependence, some discussion is also given.
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Noboru Takimoto (1960) studied this question.