The exceptional Jordan eigenvalue problem

Authors
Dray, T Manogue, CA
Citation
T. Dray et Ca. Manogue, The exceptional Jordan eigenvalue problem, INT J THEOR, 38(11), 1999, pp. 2901-2916
Citations number
24
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
38
Issue
11
Year of publication
1999
Pages
2901 - 2916
Database
ISI
SICI code
0020-7748(199911)38:11<2901:TEJEP>2.0.ZU;2-9
Abstract
We discuss the eigenvalue problem for 3 x 3 octonionic Hermitian matrices w hich is relevant to the Jordan formulation of quantum mechanics. In contras t to the eigenvalue problems considered in our previous work, all eigenvalu es are real and solve the usual characteristic equation. We give an element ary construction of the corresponding eigenmatrices, and we further Specula te on a possible application to particle physics.