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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; in revised form: 15 July 2012 / Accepted: 26 July 2012 / Published: 7 August 2012
Abstract: 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
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MDPI and ACS Style
Okniński, A. Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection. Symmetry 2012, 4, 427-440.
Okniński A. Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection. Symmetry. 2012; 4(3):427-440.
Okniński, Andrzej. 2012. "Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection." Symmetry 4, no. 3: 427-440.