TL;DR
This paper solves the quaternionic Klein-Gordon equation within quaternionic quantum mechanics, providing the simplest solution to date and analyzing scattering and unique particle properties.
Contribution
It introduces the simplest known solution to the quaternionic Klein-Gordon equation and explores scattering and novel particle features in quaternionic quantum theory.
Findings
Derived the simplest quaternionic Klein-Gordon solution
Analyzed scattering of quaternionic charged particles
Discovered existence of massive light cone particles
Abstract
We solve Klein-Gordon equation (KGE) in the framework of the real Hilbert space approach to quaternionic quantum mechanics (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.
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