Spin and angular momentum in quaternionic quantum mechanics

Abstract

We present two novel solutions of real Hilbert state quaternionic quantum mechanics (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 spin is possible, and these results may encourage experimental and theoretical investigations of the quaternionic theory.Copyright (c) 2023 EPLA