Group theoretical analysis of a system of monopoles

Abstract

Investigating the behavior of a monopole moving in the field of another monopole we have obtained energy eigenvalue and eigenfunctions of the system. It has been demonstrated that isotropic harmonic oscillator is (n+1) (n+2)/2 fold degenerate and SU(3) is the algebra to describe this system. The energy eigenvalue of monopolonium is modified from the usual energy eigenvalue of hydrogen atom due to the magnetic charge and Bohr radius of the system is very small in comparison to atomic Bohr radius. It has also been demonstrated that Hamiltonian of the monopolonium is invariant under O(4) and degree of degeneracy is n² fold.

doi:10.4038/sljp.v2i0.179

Sri Lankan Journal of Physics, Vol.2 (2001) 41-52