Quaternionic scalar field in the real Hilbert space

Using the complex Klein-Gordon field as a model, we quantize quaternionic scalar in real Hilbert space. The lagrangian formulation has accordingly been obtained, well hamiltonian formulation, and energy charge operators. Conversely to case, quantization admits two schemes, concerning either or four components. Therefore, permits richer structure of states, if compared case. Moreover, theory further novel feature non-associative algebraic their components, something not observed