Bound state solutions of the Klein–Gordon equation with the generalized Pöschl–Teller potential

Abstract

By employing an improved new approximation scheme to deal with the centrifugal term, we solve approximately the Klein-Gordon equation with equal scalar and vector generalized Pöschl-Teller potentials for the arbitrary orbital angular momentum number l. The bound state energy equation and the unnormalized radial wave functions have been approximately obtained by using the supersymmetric shape invariance approach and the function analysis method. It is found that the present approximate analytical results are in better agreement with those obtained by using the numerical integration approach for small values of α than the approximate results obtained by using the conventional approximation to the centrifugal term.

Exact Solutions of Dirac Equation With Hartmann Potential by Nikiforov–uvarov Method

“…[1][2][3][4][5][6][7][8] This equation is solved by means of different methods for exactly solvable potentials. [9][10][11][12][13][14][15][16][17][18][19][20] Aydoǧdu and Sever investigated the exact solution of the Dirac equation for Mie-type potentials by asymptotic iteration method 21 and for pseudoharmonic potential by using the Nikiforov-Uvarov method.…”

Approximate solutions of the Schrödinger equation with the generalized Morse potential model including the centrifugal term

“…This new improved approximation scheme has also been used to investigate approximately solutions of the Schrö dinger equations with the Hulthén potential [19], Manning-Rosen potential [20], and Eckart potential [21]. By using the same approximation scheme [16], the bound state solutions of the Klein-Gordon equation with the generalized Pö schl-Teller potential has also been approximately studied in terms of the supersymmetric shape invariance formalism and the function analysis method [22].…”

Optical properties of spherical quantum dot with modified Pöschl–Teller potential

“…It is obvious that with increase of quantum number the course of confining potential diverge from the parabolic potential. For a more successful and realistic approximation of the formed confining potential in axial direction the use of the modified potential Pöschl-Teller (MPPT) have been proposed [12][13][14][15][16]. In the radial direction the parabolic confining potential have been used.…”