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

Abstract

We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Pöschl-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 $\alpha$.

9 pages and 1table

References in corpus (4)

• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions
• The Hulthen Potential in D-dimensions
• Relativistic Comparison Theorems
• Comparison theorems for the Klein-Gordon equation in d dimensions

Cited by in corpus (6)

• Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
• Quasi-exactly solvable relativistic soft-core Coulomb models
• Discrete spectra for confined and unconfined -a/r + b r^2 potentials in d dimensions
• Quasi-exact Treatment of the Relativistic Generalized Isotonic Oscillator
• Soft and hard confinement of a two-electron quantum system
• Nodal theorems for the Dirac equation in d >= 1 dimensions