English

Quaternionic quantum particles

Quantum Physics 2019-08-28 v2

Abstract

Solutions of quaternionic quantum mechanics (QQM) are difficult to grasp, even in simple physical situations. In this article, we provide simple and understandable free particle quaternionic solutions, that can be easily compared to complex quantum mechanics (CQM). As an application, we study the scattering of quaternionic particles through a scalar step potential. We also provide a general solution method for the quaternionic Schr\"odinger equation, which can be applied to more sophisticated and physically interesting models.

Keywords

Cite

@article{arxiv.1704.06848,
  title  = {Quaternionic quantum particles},
  author = {Sergio Giardino},
  journal= {arXiv preprint arXiv:1704.06848},
  year   = {2019}
}