On the Duffin-Kemmer-Petiau algebra and the generalized phase space

Marco Cezar B. Fernandes, J. David M. Vianna
1998 Brazilian journal of physics  
The Du n-Kemmer-Petiau DKP relativistic equation has been recently uded to study the interactions of spinless mesons with nuclei. In view of this interest and also the interest to determine the phase space picture for hadronic quantum theory, w e present a derivation of the DKP equation on the generalized phase space proposed by Bohm and Hiley. Our development is based on the algebraic calculus introduced by S c h onberg and uses the idea of algebraic spinors due to Riesz and Cartan. The free
more » ... Cartan. The free DKP particle and the more general case of the DKP particle in a prescribed external electromagnetic eld are considered, and we obtain the DKP Liouville type equations for these cases.
doi:10.1590/s0103-97331998000400024 fatcat:53hi7s5x6vetzcgplavkchm44i