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 potentials within the framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov-Uvarov method and the two-component spinor wave functions obtained 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 of a level with fixed value of n, increases with increase in dimension of space time and the potential range parameter α.

Refined comparison theorems for the Dirac equation with spin and pseudo-spin symmetry in d dimensions

“…The above equation can be written as the following system of two first-order differential equations [78][79][80][81] …”

An alternative solution of diatomic molecules

“…(19). A new type of this potential is called the modified Kratzer potential and it is given by [51][52][53][54] …”

Bound States for Pseudoharmonic Potential of the Dirac Equation with Spin and Pseudo-Spin Symmetry via Laplace Transform Approach

“…These potentials include: the Hulthén potential [13], the Eckart potential [14], the Pöschl-Teller potential [15,16], the Rosen-Morse potential [17], harmonic potential [18], the Manning-Rosen potential [19], the Wood-Saxon potential [20], the Kratzer potential with angle dependent potential [21], the Scarf potential [22], the Hua potential [23]. In this study we consider the pseudoharmonic potential [24][25][26] given as…”