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l-Wave Solutions of Duffin-Kemmer-Petiau Equation in (1 + 3) Dimension in the Presence of Frost-Musulin Potential

Journal: Süleyman Demirel University Faculty of Arts and Science Journal of Science (Vol.16, No. 2)

Publication Date:

Authors : ;

Page : 444-457

Keywords : Duffin-Kemmer-Petiau Equation; Frost-Musulin Potential; Bound State Energy Eigenvalues; Energy Eigenfunctions;

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In this study, the analytical solutions of Duffin-Kemmer-Petiau equation in (1+3) Dimensions for spin-1 particles in the presence of Frost-Musulin potential were obtained. The standard method was used to obtain these solutions and an approach to the centripetal term was applied. Using the equations obtained, the bound state solutions are expressed in terms of Gaussian hypergeometric functions. Using the boundary conditions of wave functions, the equation giving the bound state energy eigenvalues for any l-state is derived. The bound state energy values for any l-state were determined numerically using the Mathematica software package. In addition, the effects of potential parameters on energy eigenvalues were examined graphically and numerically.

Last modified: 2021-12-26 18:11:23