Spin and angular momentum in quaternionic quantum mechanics

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.

arXiv commentAccept by Europhysics Letters

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Cited by in corpus (6)

• Expectation value dynamics within real Hilbert space quantum mechanics
• Self-interacting quantum particles
• Quantum self-interaction within an infinitely deep cavity
• The quantum harmonic oscillator and the real Hilbert space
• Deformed angular momentum algebra within the real Hilbert space
• Generalized imaginary units in quantum mechanics