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arXiv · 1706.08370

Quaternionic quantum particles: new solutions

Sergio Giardino
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Abstract

If $Ψ$ is a quaternionic wave function, then $iΨ\neq Ψi$. Thus, there are two versions of the quaternionic Schrödinger 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.

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Sergio Giardino. 2017-06-26. Quaternionic quantum particles: new solutions. https://doi.org/10.1139/cjp-2020-0077

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