Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions

Details Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions

2010-10-28

arxiv.org/abs/1010.5981v1

Physics

Mathematical Physics

9 pages and 1table

Scientific paper

We present solutions of the Dirac equation with spin symmetry for vector and scalar modified P\"oschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov-Uvarov method and the two-component spinor wavefunctions are obtain are in terms of the Jacobi polynomials. It is found that there exist only positive-energy states for bound states under spin symmetry, and the energy levels increase with the dimension and the potential range parameter $\alpha$.

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