Octonionic Dirac Equation | Zendy

Stefano De Leo | Zendy; Khaled Abdel-Khalek | Zendy

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Octonionic Dirac Equation

Author(s) -

Stefano De Leo,

Khaled Abdel-Khalek

Publication year - 1996

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.96.833

Subject(s) - dirac equation , physics , translation (biology) , dirac (video compression format) , gamma matrices , wave equation , dirac algebra , order (exchange) , mathematical physics , wave function , theoretical physics , quantum mechanics , pure mathematics , mathematics , biochemistry , chemistry , finance , messenger rna , neutrino , economics , gene

In order to obtain a consistent formulation of octonionic quantum mechanics(OQM), we introduce left-right barred operators. Such operators enable us tofind the translation rules between octonionic numbers and $8\times 8$ realmatrices (a translation is also given for $4\times 4$ complex matrices). Wedevelop an octonionic relativistic free wave equation, linear in thederivatives. Even if the wave functions are only one-component we show thatfour independent solutions, corresponding to those of the Dirac equation,exist.Comment: To appear in Prog. Theor. Phys. (vol 96

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