English

Spin and angular momentum in quaternionic quantum mechanics

Quantum Physics 2023-03-27 v1

Abstract

We present two novel solutions of real Hilbert state quaternionic quantum mechanics (H\mathbb HQM). 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.

Keywords

Cite

@article{arxiv.2303.07583,
  title  = {Spin and angular momentum in quaternionic quantum mechanics},
  author = {Sergio Giardino},
  journal= {arXiv preprint arXiv:2303.07583},
  year   = {2023}
}

Comments

Accept by Europhysics Letters

R2 v1 2026-06-28T09:15:26.544Z