屏蔽Kratzer势分数阶Schrodinger方程的近似解
Approximate Solutions of the Fractional Schrodinger Equation for the Screened Kratzer Potential
摘要：
利用共形分数阶Nikiforv-Uvarov（NU）方法的概念，求解了具有屏蔽Kratzer势（SKP）的分数阶Schrodinger方程。采用Greene-Aldrich近似和坐标变换方法，得到了SKP的束缚态能谱和本征函数的解析表达式。计算了不同分数参数下氢化锂和氯化氢双原子分子的SKP能量。讨论了不同势参数和不同量子数时，LiH的SKP束缚态能量本征值的图形变化.我们的结果是新的，以前没有任何文献报道。
英文摘要：
By employing the concept of conformable fractional Nikiforv-Uvarov (NU) method, we solved the fractional Schrodinger equation with the screened Kratzer potential (SKP). By applying the Greene-Aldrich approximation and a coordinate transformation schemes, the analytical expressions of the bound state energy spectra and eigenfunctions for SKP were obtained. Numerical results for the energies of SKP for lithium hydride and hydrogen chloride diatomic molecules were computed for different fractional parameters. Also, the graphical variation of the bound state energy eigenvalues of SKP for LiH with different potential parameters and quantum numbers were discussed, as regards the selected fractional parameters. Our results are new and have not been reported in any literature before.
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