Scattering and Bound States of Duffin-Kemmer-Petiau Particles for <math id="M1" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>q</mi></mrow></math> -Parameter Hyperbolic Pöschl-Teller Potential

The Duffin-Kemmer-Petiau (DKP) equation in the presence of a scalar potential is solved in one spatial dimension for the vector <math id="M2" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>q</mi></mrow></math> -parameter Hyperbolic Pöschl-Teller ( <math id="M3" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>q</mi></mrow></math> HPT) potential. In obtaining complete solutions we used the weak interaction approach and took the scalar and vector potentials in a correlated form. By looking at the asymptotic behaviors of the solutions, we identify the bound and scattering states. We calculate transmission ( <math id="M4" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>T</mi></mrow></math> ) and reflection ( <math id="M5" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>R</mi></mrow></math> ) probability densities and analyze their dependence on the potential shape parameters. Also we investigate the dependence of energy eigenvalues of the bound states on the potential shape parameters