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

Symmetry

关键词: relativistic wave equations;    supersymmetry;   

DOI  :  10.3390/sym4030427

来源: mdpi

【 摘 要 】

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 × 3 subequations. We show that all the subequations can be obtained via minimal coupling from the same 3 × 3 subequations which are thus a supersymmetric link between fermionic and bosonic degrees of freedom.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.