Quaternionic quantum particles

Apr 22, 2017
9 pages
Published in:
  • Adv.Appl.Clifford Algebras 29 (2019) 4, 83
  • Published: Aug 22, 2019
e-Print:

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Abstract: (Springer)
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 Schrödinger equation, which can be applied to more sophisticated and physically interesting models.