On the Space Reflections Definition Problem in the Magnetic Charge Theory

Dipole transitions and Stark effect in the charge-dyon system

“…Then, from E = −κ 2 /2 we find the energy of the system It is seen that the ground state of the non-perturbed charge-dyon system has (2|s| + 1)-fold degeneracy (by the azimuth quantum number m), while the linear Stark effect completely removes the degeneracy on m. It is proportional to the azimuth quantum number m, while its sign depends on the relative sign of the monopole numbers s and m (the linear Stark effect in the 'dyogen atom' possesses similar properties [14]). In contrast to the linear Stark effect, the quadratic Stark effect of the ground state is independent neither of sign s, nor of sign m.…”

“…Let us consider the dipole transitions in the MICZ-Kepler system interacting with a planar monochromatic electromagnetic wave, which are completely similar to those in the 'dyogen atom' [7].…”

“…in the charge-dyon system other transitions are also possible (see [7] and the references in [8]): m = m, l = l m = m±1, l = l. The specific effect of the choice of the Coulomb potential is hidden symmetry, essentially simplifying the analyses of the system. For example, it makes possible the separation of variables in a few coordinate systems [9].…”

“…At first, we consider, for the completeness, the dipole transitions in the MICZ-Kepler system generated by the planar monochromatic electromagnetic wave. Their difference from the dipole transitions in the so-called dyogen atom (described by the MICZ-Kepler Hamiltonian minus s 2 /2r 2 term) [7] is in the value of the unessential constant.…”

Generalizations of MICZ-Kepler system

“…This is consequence of the violation of P -parity by the magnetic monopole, and is the general feature of the quantum mechanical systems with monopoles (see [9,7] and the references in [10]). The specific effect of the choice of the Coulomb potential is hidden symmetry, essentially simplifying the analyses of the system.…”