Motion of Charged Particles in a Homogeneous Magnetic Field. II

The general method proposed by Tsai and Yildiz to obtain the eigenvalues of any spin theory has been used to solve the eigenvalues of the 6-component theory of Shay and Good. This calculation method clearly demonstrates how the vector theory of Proca and Kemmer differs from the 6-component theory. An extra term which contributes to the $S_3=0\mathrm{}$ case only is obtained in the 6-component theory, which explains the difference in the results obtained from the two different theories. With the result obtained, it is observed that the 6-component theory is consistent only when there is no anomalous-magnetic-moment coupling. Possible interpretations of the inconsistency are also discussed.