English

Quaternionic quantum particles: new solutions

Quantum Physics 2021-04-30 v1

Abstract

If Ψ\Psi is a quaternionic wave function, then iΨΨii\Psi\neq \Psi i. Thus, there are two versions of the quaternionic Schr\"odinger equation (QSE). In this article, we present the second possibility for solving the QSE, following on from a previous article. After developing the general methodology, we present the quaternionic free particle solution and the scattering of the quaternionic particle through a scalar barrier.

Keywords

Cite

@article{arxiv.1706.08370,
  title  = {Quaternionic quantum particles: new solutions},
  author = {Sergio Giardino},
  journal= {arXiv preprint arXiv:1706.08370},
  year   = {2021}
}