| Issue |
EPL
Volume 142, Number 1, April 2023
|
|
|---|---|---|
| Article Number | 12001 | |
| Number of page(s) | 5 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/acc41e | |
| Published online | 23 March 2023 | |
Spin and angular momentum in quaternionic quantum mechanics
Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS) Avenida Bento Gonçalves 9500, Caixa Postal 15080, 91501-970 Porto Alegre, RS, Brazil
(a) E-mail: sergio.giardino@ufrgs.br (corresponding author)
Received: 23 December 2022
Accepted: 14 March 2023
We present two novel solutions of real Hilbert state quaternionic quantum mechanics 
. 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 spin is possible, and these results may encourage experimental and theoretical investigations of the quaternionic theory.
© 2023 EPLA
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