Molecular Spinless Energies of the Modified Rosen-Morse Potential Energy Model

Entropic system in the relativistic Klein-Gordon Particle

“…The solutions of the Klein-Gordon equation above and some diatomic molecular potential models have been obtained for different molecules [46,47,48,49,50], and the results compared with experimental values. To get rid of the inverse squared term in equation ( 9), we need to adopt a suitable approximation scheme.…”

Scattering States of l -Wave Schrödinger Equation with Modified Rosen—Morse Potential

“…where parameters c 0 , c 1 , and c 2 are given by Eqs. (6). By comparing the above energy levels (29) with the energy equation ( 25) in Ref.…”

Thermodynamic evaluation of Coshine Yukawa potential (CYP) for some diatomic molecule systems

“…However, solving this equation can be very arduous, and the obtainment of exact analytical solutions occurs only in few cases [16] since the solution of wave equations with some potentials are exactly solvable for𝑙 = 0, while other potentials are unsolvable and nontrivial for any arbitrary 𝑙 ≠ 0 angular momentum quantumnumber. Consequently, different advanced mathematical techniques have been developed for solving such problems arising from the application of the solution of quantum wave equations; and amongst the most well-known techniques/methods are the Nikiforov-Uvarov (NU) method [17][18][19][20][21], supersymmetric (SUSY) technique [22][23][24], asymptotic iteration method (AIM) [25][26][27], Wavefunction ansatz Method [28], Formula Method [29], Feynman integral technique [28][29][30], factorization technique [31,[33][34][35], Laplace transform approach [36], exact and proper quantization rules [37,38], the path integral [39] and others. Furthermore, these techniques/methods also utilize some approximation schemes like the Greene-Aldrich approximation [32,40,41], Pekeris approximation [42,43], etc., to manage the orbit-centrifugal terms especially for obtaining exact analytic solutions of the SE when 𝑙 ≠ 0.…”