a b s t r a c tWe present a calculation of the Green function for the Duffin-Kemmer-Petiau equation in the case of scalar and vectorial particles interacting with a square barrier potential, and relate it to that of the Klein-Gordon equation. A formal Hamiltonian of the Duffin-Kemmer-Petiau theory is first developed using the Feshbach-Villars analogy and the Sakata and Taketani decomposition. The coefficients of reflection and transmission are deduced.Crown
We construct a pseudo-unitary scattering matrix for the Duffin-Kemmer-Pétiau (DKP) particles when interacting with a barrier potential. K e y w o r d s: DKP equation, barrier potential, coefficient of transmission, coefficient of reflection, scattering matrix.
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