On the boundary condition and canonical S-wave hamiltionian for the dyon-fermion system

By means of the surface Lagrangian and gauge invariant charge current, we make a detailed discussion to the physical meaning of each quantity in the boundary condition of the dyon-fermion dynamics. It is shown that adding the surface Lagrangian to the system is equivalent to selecting suitable boundary condition. By gauge transforming the Lagrangian by a charge generator, we get a corresponding U(1) charge current density which is both gauge invariant and spherosymmetrical. A use of the canonical method and a careful treatment of surface terms show that the S-wave Hamiltonian given by Yamagishi requires amendment by a surface energy term