Octonionic Dirac Equation

Details Octonionic Dirac Equation Octonionic Dirac Equation

1996-09-03

arxiv.org/abs/hep-th/9609033v1

Prog.Theor.Phys. 96 (1996) 833-846

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Prog. Theor. Phys. (vol 96)

Scientific paper

10.1143/PTP.96.833

In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules between octonionic numbers and $8\times 8$ real matrices (a translation is also given for $4\times 4$ complex matrices). We develop an octonionic relativistic free wave equation, linear in the derivatives. Even if the wave functions are only one-component we show that four independent solutions, corresponding to those of the Dirac equation, exist.

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