The Exceptional Jordan Eigenvalue Problem

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We discuss the eigenvalue problem for 3x3 octonionic Hermitian matrices which is relevant to the Jordan formulation of quantum mechanics. In contrast to the eigenvalue problems considered in our previous work, all eigenvalues are real and solve the usual characteristic equation. We give an elementary construction of the corresponding eigenmatrices, and we further speculate on a possible application to particle physics.
LaTeX2e, 15 pages, no figures; to appear in IJTP; (references updated; minor typos fixed)

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Mathematical Physics, Rings and Algebras, 17C90 (Primary) 15A33, 17C27 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/58405

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9910004
 http://arxiv.org/abs/math-ph/9910004
 IJTP 38, 2901-2916 (1999)

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arXiv