RUNGE-LENZ VECTOR AND EIGEN VALUES FOR DYON SYSTEM IN SIX-SPACE

Physics

The Maxwell, Lorentz force equations are expressed in terms of generalized potentials, fields and six-currents in symmetric, orthogonal six-dimensional space-time. The Lagrangian and canonical Hamiltonian for a two-dyon system have been shown to depend on dual charge source strength and coupling strength of dyons. The gauge invariant, rotationally symmetric Runge-Lenz vector have been expressed in six-space and constructing raising operators, their commutations have been explored and it has been shown that third component of angular momentum commutes with Hamiltonian. Characterizing the eigen basis, the minimum angular momentum in the system is retained and integral value of chirality leads to degeneracy in eigen values

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