  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.
