Kratzer+广义Morse势的本征解及其热力学性质
Eigensolutions and Thermodynamic Properties of Kratzer plus generalized Morse Potential
摘要：
在Kratzer+广义Morse势（KPGM）存在的情况下，利用参数Nikiforov-Uvarov方法得到了薛定谔波动方程的束缚态解.得到了封闭形式的能量本征方程和相应的归一化波函数。利用能量本征方程研究了氢化锂双原子分子的配分函数和振动平均能、振动比热容、振动平均自由能和振动熵等热力学性质.所得热力学图与已有文献的结果吻合良好。通过一个精心设计和实现的Maple程序，得到了双原子分子的波函数和概率密度图。
英文摘要：
In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrodinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM). The energy eigen equation and the corresponding normalised wave function were obtained in closed form. The resulting energy eigen equation were use to study partition function and other thermodynamic properties such as vibrational mean energy, vibrational specific heat capacity, vibrational mean free energy and vibrational entropy for the proposed potential as applied to lithium hydride diatomic molecule. The thermodynamic plots obtained were in excellent agreement to work of existing literatures. The wave function and probability density plots for the diatomic molecules were obtained through a well designed and implemented maple programme.
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