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Symmetry 2012, 4(3), 427-440; doi:10.3390/sym4030427

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Physics Division, Kielce University of Technology, Al. 1000-lecia PP 7, 25-314 Kielce, Poland
Received: 18 June 2012 / Revised: 15 July 2012 / Accepted: 26 July 2012 / Published: 7 August 2012
(This article belongs to the Special Issue Supersymmetry)
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In the present paper we study subsolutions of the Dirac and Duffin–Kemmer–Petiau equations in the interacting case. It is shown that the Dirac equation in longitudinal external fields can be split into two covariant subequations (Dirac equations with built-in projection operators). Moreover, it is demonstrated that the Duffin–Kemmer–Petiau equations in crossed fields can be split into two 3 x 3 subequations. We show that all the subequations can be obtained via minimal coupling from the same 3 x 3 subequations which are thus a supersymmetric link between fermionic and bosonicdegrees of freedom.
Keywords: relativistic wave equations; supersymmetry relativistic wave equations; supersymmetry
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Okniński, A. Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection. Symmetry 2012, 4, 427-440.

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