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math-ph1999
The Exceptional Jordan Eigenvalue Problem
Tevian Dray, Corinne A. Manogue
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 con…
hep-th1999
Quaternionic Spin
Tevian Dray, Corinne A. Manogue
We rewrite the standard 4-dimensional Dirac equation in terms of quaternionic 2-component spinors, leading to a formalism which treats both massive and massless particles on an equ…