The Exceptional Jordan Eigenvalue Problem

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dc.creatorDray, Tevian
dc.creatorManogue, Corinne A.
dc.date1999-10-01
dc.date1999-11-02
dc.date.accessioned2026-07-07T04:32:59Z
dc.date.available2026-07-07T04:32:59Z
dc.descriptionWe 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.
dc.descriptionLaTeX2e, 15 pages, no figures; to appear in IJTP; (references updated; minor typos fixed)
dc.identifierhttps://arxiv.org/abs/math-ph/9910004
dc.identifierhttp://arxiv.org/abs/math-ph/9910004
dc.identifierIJTP 38, 2901-2916 (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58405
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.subject17C90 (Primary) 15A33, 17C27 (Secondary)
dc.titleThe Exceptional Jordan Eigenvalue Problem
dc.typetext

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