ON THE RELATION BETWEEN HYPERCOMPLEX SOLUTIONS AND SPECIAL UNITARY GROUPS

In the example of the nonlinear Klein-Gordon equation, we demonstrate that even-indexed hypergeometric solutions admit matrix representation s that can be associated with special unitary groups. For the index 2 in particular, this correspondence is shown to be 1:1. For the odd ind ex 3, we show that no anticommuting matrices exist in the class of uni tary anti-Hermitian matrices. We also show that the solutions obtained describe going around the potential barrier in the electron-proton tr ansport problem.