Analytical solutions of D-dimensional Klein–Gordon equation with modified Mobius squared potential

New relativistic and nonrelativistic model of diatomic molecules and fermionic particles interacting with improved modified Mobius potential in the framework of noncommutative quantum mechanics symmetries

“…Thus, the radial part of Eqs. ( 13), (14), and ( 15 Okorie et al, 1 Onyenegecha et al, 2 and Ikot et al 3 using both Nikiforov-Uvarov method and the Greene and Aldrich approximation for the centrifugal term 48 to obtain the expressions for the wave function as hypergeometric polynomials and the corresponding energy values for the modified Mobius squared potential, in RQM and NRQM symmetries as, New relativistic and nonrelativistic model of diatomic molecules and fermionic particles interacting with improved... Where , α are the hypergeometric polynomials while and are the normalization constants and the energy eigenvalues are given by:…”

“…( 16) with the modified Mobius squared potential can be exactly solved for the s-wave but for the case Onyenegecha et al obtained approximate analytical solutions of the RKGE with the arbitrary state using the Nikiforov-Uvarov method and employing the approximation scheme for the centrifugal term. 2 In the new form of radial like-Schrödinger equation written in Eq. ( 41), we have new terms including and other like-Coulombic terms which make this equation impossible to solve analytically for and it can only be solved approximately.…”

“…1 Onyenegecha et al obtained analytical solutions of D-dimensional Klein-Gordon equation with MMSP using the Nikiforov-Uvarov (NU) method and obtained the relativistic energy eigenvalues and corresponding wave functions. 2 Using the parametric NU method, Ikot et al 3 solved the Dirac equation for MMSP within the Yukawa-like tensor interaction. Using the newly proposed NU-functional analysis approach, Ikot et al, 4 solved the nonrelativistic Schrödinger equation for MMSP.…”

“…1,10 In addition, the behavior of H 2 , I 2 , CO, NO, and HCl molecules are investigated subject to the MMSP. 2 The solutions of the Schrödinger equation for the modified Mobius square plus Kratzer potential have been obtained using the Nikiforov-Uvarov method and employing the approximation scheme for the centrifugal term. 11 In 2013, the solution of the Dirac equation with relativistic spin and pseudospin symmetries of inversely quadratic Yukawa-like plus Mobius square potentials including a Coulomb-like tensor interaction has been obtained using the Nikiforov-Uvarov (NU) method.…”

“…The idea of non-commutativity resulting from properties of deformation of space-space (Heisenberg in 1930 is the first to suggest the idea and then it was developed by Snyder in 1947) was one of the major solutions to these problems, As a result of all these motivational data, it is logical to consider the topographical properties of the noncommutativity space-space and phase-phase have a clear effect on the various physical properties of relativistic and nonrelativistic quantum systems. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] The above works motivated us to investigate the approximate solutions of the 3-dimensional deformed Klein-Gor-don equation (DKGE, in short), the deformed Dirac equation (DDE, in short) and deformed Schrödinger equation (DSE, in short) for the improved modified Mobius square potential model offered by Okorie et al, 1 Onyenegecha et al, 2 and Ikot et al 3 in the relativistic regime and nonrelativistic regime in the context of ordinary quantum mechanics. The potential under study can be applied for some selected diatomic molecules such as (H 2 , I 2 , CO, NO, and HCl) in RNCQM and NRNCQM symmetries.…”