| Abstract: | In some quantum mechanical problems involving singular states usually exists phase angle uncertainty. Recently in the investigation of the scattering of a Dirac particle with the charge Ze and a fixed magnetic monopole, Kazama, Yang and Goldharber 2] introduced some extra magnetic moments in order to eliminate the phase angle uncertainty. In this paper, instead of introducing any extra magnetic moment we use the adjusted framework of quantum mechanics suggested in 3], the criterion of orthogonality and the variation principle of energy (indefinite phase as a variation parameter) to determine the phase angle, the scattering cross section and the bound states uniquely. These principles for the determination of the solution have been tested for its correctness, because the result is consistent with the solution of reference 2]. By using these principles the problems of scattering and bound states of systems consisting of a charged magnetic monopole and a charged Dirac particle, as well as the monopole pair are exactly solved. |
