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

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      Abstract

      The Duffin-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, we present a derivation of the DKP equation of the generalized phase space proposed by Bohm and Hiley. Our development is based on the algebraic calculus introduced by Schönberg and uses the idea of algebraic spinors due to Riesz and Cartan. The free DKP particle and the more general case of the DKP particle in a prescribed external electromagnetic field are considered, and we obtain the DKP Liouville type equations for these cases.

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      Most cited references 12

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      Phase Space Picture of Quantum Mechanics

       Y. Kim,  M. Noz,  Y. B. KIM (1991)
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        The Theory of Spinors

         E. Cartan (1966)
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          J. Phys. G.: Nucl. Part. Phys.

           Y. Nedjadi,  R Barrett (1993)
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            Author and article information

            Affiliations
            [1 ] Universidade de Brasília Brazil
            [2 ] Universidade Federal da Bahia Brazil
            Contributors
            Role: ND
            Role: ND
            Journal
            bjp
            Brazilian Journal of Physics
            Braz. J. Phys.
            Sociedade Brasileira de Física (São Paulo )
            1678-4448
            December 1998
            : 28
            : 4
            : 00
            S0103-97331998000400024
            10.1590/S0103-97331998000400024

            http://creativecommons.org/licenses/by/4.0/

            Product
            Product Information: SciELO Brazil
            Categories
            PHYSICS, MULTIDISCIPLINARY

            General physics

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