Solutions of D-dimensional Klein–Gordon equation for multiparameter exponential-type potential using supersymmtric quantum mechanics

Analytic solution of multi-dimensional Schrödinger equation in hot and dense QCD media using the SUSYQM method

“…So far no attempts to solve quarkonium potential using SUSYQM was reported Refs. [4][5][6][7][8][9][10][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55].…”

“…The Supersymmetry quantum mechanics (SUSYQM) and shape invariance in physics [1][2][3] have been used extensively in finding exact and approximate solutions of the Schrödinger-like equations with solvable potential models [4][5][6][7][8][9][10]. It is well-known that SUSYQM allows one to determine the eigenvalues and eigenfunctions analytically for solvable potentials model using algebraic operator formulation without solving the Schrödinger-like differential equation by the standard series method.…”

Thermodynamic properties of improved deformed exponential-type potential (IDEP) for some diatomic molecules

“…Recently, improved deformed four-parameter exponential-type potential energy model [6] was generated using dissociation energy and equilibrium bond length as explicit parameters for diatomic molecules. The solution of the D-dimensional Klein-Gordon equation (KGE) for multiparameter exponential-type potential has been obtained via supersymmetric quantum mechanics [7]. The improved five-parameter exponential-type potential [8] has been shown to be identical with the Tietz potential [9] for diatomic molecules.…”

Improved multiparameter exponential‐type potential for diatomic molecules

“…In 2012, García‐Martínez et al constructed an exactly solvable multiparameter exponential‐type potential (MPETP) based on the canonical transformation method applied to a general second‐order differential equation. This potential model has attracted much attention . Ovando et al showed that the MPETP includes some well‐known diatomic potentials such as the Manning‐Rosen potential, Schiöberg potential and Tietz potential as special cases.…”

“…Ovando et al investigated in detail the supersymmetric properties of the MPETP. Investigations of the bound and scattering states of the Schrödinger, Klein‐Gordon, and Dirac equations for the MPETP in three and higher spatial dimensions have aroused considerable interest of many authors . However, as far as we know, one has not reported any investigation on modeling internuclear interaction potential curves for real diatomic molecules by employing the MPETP.…”