Relativistic Quaternionic Wave Equation II

Details Relativistic Quaternionic Wave Equation II Relativistic Quaternionic Wave Equation II

2007-01-16

arxiv.org/abs/hep-th/0701155v2

J.Math.Phys.48:052303,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Main changes are to the Lagrangians in Sections 2 and 4

Scientific paper

10.1063/1.2735441

Further results are reported for the one-component quaternionic wave equation recently introduced. A Lagrangian is found for the momentum-space version of the free equation; and another, nonlocal in time, is found for the complete equation. Further study of multi-particle systems has us looking into the mathematics of tensor products of Hilbert spaces. The principles of linearity and superposition are also clarified to good effect in advancing the quaternionic theory.

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