Onate C A, Onyeaju M C, Omugbe E, Okon I B, Osafile O E
Physics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria.
Theoretical Physics Group, Department of Physics, University of Port Harcourt, P.M.B. 5323, Choba, Port Harcourt, Nigeria.
Sci Rep. 2021 Jan 22;11(1):2129. doi: 10.1038/s41598-021-81428-9.
An approximate solutions of the radial Schrödinger equation was obtained under a modified Tietz-Hua potential via supersymmetric approach. The effect of the modified parameter and optimization parameter respectively on energy eigenvalues were graphically and numerically examined. The comparison of the energy eigenvalues of modified Tietz-Hua potential and the actual Tietz-Hua potential were examined. The ro-vibrational energy of four molecules were also presented numerically. The thermal properties of the modified Tietz-Hua potential were calculated and the effect of temperature on each of the thermal property were examined under hydrogen fluoride, hydrogen molecule and carbon (ii) oxide. The study reveals that for a very small value of the modified parameter, the energy eigenvalues of the modified Tietz-Hua potential and that of the actual Tietz-Hua potential are equivalent. Finally, the vibrational energies for Cesium molecule was calculated and compared with the observed value. The calculated results were found to be in good agreement with the observed value.
通过超对称方法，在修正的蒂茨 - 华势下得到了径向薛定谔方程的近似解。分别以图形和数值方式研究了修正参数和优化参数对能量本征值的影响。研究了修正的蒂茨 - 华势与实际蒂茨 - 华势的能量本征值比较。还以数值方式给出了四个分子的振转能量。计算了修正的蒂茨 - 华势的热性质，并在氟化氢、氢分子和一氧化碳条件下研究了温度对每种热性质的影响。研究表明，对于非常小的修正参数值，修正的蒂茨 - 华势的能量本征值与实际蒂茨 - 华势的能量本征值相等。最后，计算了铯分子的振动能量并与观测值进行比较。发现计算结果与观测值吻合良好。
