English

Quaternionic Klein-Gordon equation

Quantum Physics 2021-11-23 v1 High Energy Physics - Theory

Abstract

We solve Klein-Gordon equation (KGE) in the framework of the real Hilbert space approach to quaternionic quantum mechanics (\mathbbmH\mathbbm HQM). 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.

Keywords

Cite

@article{arxiv.2105.11270,
  title  = {Quaternionic Klein-Gordon equation},
  author = {Sergio Giardino},
  journal= {arXiv preprint arXiv:2105.11270},
  year   = {2021}
}

Comments

accept by The European Physical Journal Plus

R2 v1 2026-06-24T02:24:23.056Z