Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

Abstract

Abstract:The

Formula Method for Bound State Problems

“…These results are in agreement with the ones obtained previously [77,78,79,81]. To show the effectiveness and flexibility of our approach, we extend our applications to solve the Klein-…”

Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential

“…Furthermore, b is the dimensionless real constant to be set to zero for the constant mass case (i.e., m 1 = 0) and λ 0 is the compton-like wavelength in f m units. It is worth mentioning that the above choice of the mass function of Coulombic form [48,49] is mostly suitable for modeling the well-known pseudo-Coulomb (Kratzer-type) potential [54][55][56]. The interaction field has much impact on the choice of the mass function which, in the present case, is inveresely proportional to the distance between the two nuclei at short distances m(r) ∼ 1 r and constant at long distances m(r → ∞) ≃ m 0 .…”

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

“…Klein-Gordon (KG) equation is a basic relativistic wave equation that is well known to describe the motion of spin zero particles [4]. Different investigations have been carried out to obtain the exact and approximate solutions of the KG equation with different potentials, via various methods including the asymptotic iteration method (AIM) [5], Nikiforov-Uvarov (NU) method [6], supersymmetric quantum mechanics (SUSYQM) [7], algebraic approach [8], exact and proper quantization rules [9], modified factorization method [10,11] and others [12][13][14][15][16].Many authors have studied the solutions of the D-dimensional Klein-Gordon equation with diatomic molecular potential energy models [17][18][19][20][21][22][23][24][25]. Analytical solutions of the KG equation and Dirac equation have been obtained for the conventional form of the Rosen-Morse (RM) potential energy model [26,27].…”