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Octonionic Quantum Mechanics and Complex Geometry

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arxiv hep-th/9609032 v1 pith:L5SMEJAJ submitted 1996-09-03 hep-th

Stefano De Leo , Khaled Abdel-Khalek (Lecce Univ.) This is my paper · ORCID
classification hep-th
keywords octonioniccomplexformulationgeometrymechanicsquantumallowsappropriate
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The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and define an appropriate momentum operator within OQM. The nonextendability of the completeness relation and the norm conservation is also discussed in details.

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  1. The Dirac equation in (split-)octonions: origins, variants, and modern context

    math-ph 2026-06 conditional novelty 5.0 of 10

    Four approaches to the Dirac equation in (split-)octonions are classified; a 2024 split-octonionic equation is shown identical to the 2006 2-factor form by structure-preserving rotation and relabeling.

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