A novel formula of equilibrium bond distance of the quantum oscillator with temperature dependence in diatomic molecules

Effects of Pöschl-Teller potential on approximate ℓ ≠ 0-states solution in topological defect geometry and Shannon entropy

“…In figures 4(a) and (b), as the values of α increase, the energy levels shift upward. Similarly, in figures 4(c) and (d), we see that the energy levels shift upward with increasing quantum number n. Additionally, we have provided figure 5, illustrating the energy levels with the screening parameter δ for various values of α and the quantum number n using equation (25), where we keep fixed values of potential parameters {V 1 , V 2 } and other parameters. One can easily show that by changing values of these potential parameters {V 1 , V 2 }, the energy spectra increases more.…”

“…To illustrate the differences of the energy spectra of equation ( 23) and (26) due to the presence and absence of topological defect, we have generated figure 6 to show how the topological defect devoid the result from the flat space case. Here, we used the values of various parameters listed in equation (25). One can see that as the values of the topological parameter α increases, the gap between the energy spectra E n,ℓ for the quantum number n = 0, 1, 2 decreases keeping fixed the orbital quantum number ℓ = 1 ≠ 0.…”

“…Among the diverse array of potentials, the Coulomb potential [19][20][21][22] governs electrostatic interactions, profoundly influencing atomic physics and chemical bonding. Conversely, the Rosen-Morse potential [23][24][25] illuminates molecular spectroscopy and the dynamics of diatomic molecules. Additionally, the Wood-Saxon potential characterizes nuclear interactions within atomic nuclei, modulating nuclear structure and reactions.…”