Quaternionic Klein-Gordon equation
arXiv:2105.11270 · doi:10.1140/epjp/s13360-021-01602-w
Abstract
We solve Klein-Gordon equation (KGE) in the framework of the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The presented solution is the simplest ever obtained for quaternionic quantum theories, and the closest to the complex solution. The scattering of a quaternionic charged scalar particle from an electric field is also obtained. A remarkable feature of quaternionic scalar particles is the existence of massive light cone particles.
arXiv commentaccept by The European Physical Journal Plus
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