The quaternionic commutator bracket and its implications

A quaternionic commutator bracket for position and momentum shows that the quaternionic wave function, viz. ψ= (i/c ψ0, ψ→), represents a state of a particle with orbital angular momentum, L = 3 h, resulting from the internal structure of the particle. This angular momentum can be attributed to spin of the particle. The vector ψ→, points in an opposite direction of L→. When a charged particle is placed in an electromagnetic field, the interaction energy reveals that the magnetic moments interact with the electric and magnetic fields giving rise to terms similar to Aharonov-Bohm and Aharonov-Casher effects.