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Spin and angular momentum in quaternionic quantum mechanics
Quantum Physics · Submitted 14 Mar 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present two novel solutions of real Hilbert state quaternionic quantum mechanics ($\mathbb H$QM). | contribution 0.99 | 0.94 | 0.14 | asserted 1.00 |
| s1 | Firstly, we observe that the angular momentum operator admits two different classes of physically non-equivalent free particles. | result 1.00 | 0.88 | 0.26 | asserted 1.00 |
| s2 | 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. | result 0.87 | 0.88 | 0.45 | hedged possibility 0.60 |
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Original 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.
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