Bound States of the Dirac Equation for Modified Mobius Square Potential Within the Yukawa-Like Tensor Interaction

Abstract

In this paper Dirac equation was studied in the presence of the modified Mobius square potential with a Yukawa-like tensor interaction. The eigenvalues and corresponding eigenfunctions were obtained for any-state by using Nikiforov-Uvarov method.

Solutions of the D-Dimensional Schrödinger Equation with the Hyperbolic Pöschl-Teller Potential plus Modified Ring-Shaped Term

“…Thus, the parameters 1 and 2 are chosen to satisfy 1 < 4√ 2 and 2 2 + 1 < −12√ 2 . Moreover, since those parameters depend on the energy as we mentioned previously, this yields us to reject the (+) sign in (24) and (25). Consequently, bound states occur for̃> 35/16 (which does not violate the old restrictioñ≥ −1/16) and |̃| > | − 1/2|.…”

“…Solutions of (8) will not be affected by the presence of the proposed potential and thus are common to different systems and they were done before using different approaches [37]. Consequently, we will only solve (6) and (8) using the Nikiforov-Uvarov method [24,25].…”

“…We will only take the (−) sign in (25) ]. This suggests a change of variable = 2 −1 to bring the domain to that of Jacobi polynomials which are well-known classical orthogonal polynomials.…”

“…Recently, Ikot et al [14][15][16] investigated the Schrödinger equation with Hulthen potential plus a new ringshaped potential [3], nonspherical harmonic and Coulomb potential [15], and pseudo-Coulomb potential in the cosmic string space-time [16]. Many authors have used different methods to obtain exact solutions of the wave equation such as the methods of Supersymmetric Quantum Mechanics (SUSY-QM) [17][18][19], the Tridiagonal Representation Approach (TRA) [20][21][22][23], and Nikiforov-Uvarov (NU) method [24][25][26][27][28].…”

Bound State Solutions of the Hua Potential within the Framework of Two Approximations Scheme

“…Ikot et al [20] studied the Dirac equation in the presence of the modified Mobius square potential with a Yukawa-like tensor interaction and obtain the eigenvalues and corresponding eigenfunctions for any -state by using Nikiforov-Uvarov method [20]. Ekpo et al [22] solved the Schrodinger equation for the New Generalized Morse-Like Potential in arbitrary dimensions by using the Nikiforov Uvarov Method.…”