论文标题
使用Poisson求和方法的Deng-Fan-Eckart潜在模型的热性能
Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
论文作者
论文摘要
Deng-Fan-Eckart(DFE)电位与研究双原子分子中原子相互作用的摩尔斯电位一样好。通过使用改进的北京型近似,以处理离心项,我们通过该分解方法通过该采用的分子模型获得了径向schrödinger方程的界面溶液。通过获得的能量方程,使用泊松求和方法获得了某些选定的双原子分子(H2,CO和SCN)的热力学特性。也得出了未归一化的波函数。获得了一组振动N和旋转L值的双原子分子的能谱。为了显示我们结果的准确性,我们通过调整一些潜在参数来讨论一些特殊情况,并计算邓平电位的数值特征值,以进行比较。但是,发现我们的结果与通过其他方法获得的结果非常吻合。
The Deng-Fan-Eckart (DFE) potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules(H2 , CO , and ScN ) were obtained using Poisson summation method.. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational n and rotational l are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng-Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods.