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arXiv · 2303.07583

Spin and angular momentum in quaternionic quantum mechanics

Sergio Giardino
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Abstract

We present two novel solutions of real Hilbert state quaternionic quantum mechanics ($\mathbb H$QM). Firstly, we observe that the angular momentum operator admits two different classes of physically non-equivalent free particles. As a second result, we study the Larmor precession to observe that it has a quaternionic solution where a novel phenomenological interpretation is possible, as well as a different of spin is possible, and these results may encourage experimental and theoretical investigations of the quaternionic theory.

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Sergio Giardino. 2023-03-14. Spin and angular momentum in quaternionic quantum mechanics. https://doi.org/10.1209/0295-5075%2Facc41e

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