论文标题
与一般分子振荡器的非相对性施罗宾格方程的所有L状态征量
All l-state eigensolutions of the non-relativistic Schrodinger equation with the general molecular oscillator
论文作者
论文摘要
在这项研究中，我们采用精确的量化规则（EQR）来推导Schrodinger方程的分析近似L波溶液，并使用通用分子振荡器（GMO）得出。已经明确获得了能量特征值方程和相应的波函数。改进的北京型近似方案已用于处理轨道离心项。我们推导了摩尔斯的结合状态特征值的表达式，并将邓凡振荡器转移为转基因生物的特殊情况，并计算了其所得的结合状态特征值H2，CO，HCL和LIH Diotomic Molecules。我们的结果与文献中的其他结果非常吻合。
In this study, we employ exact quantization rule (EQR) to derive the analytical approximate l-wave solutions of the Schrodinger equation with the general molecular oscillator (GMO). The energy eigenvalues equation and the corresponding wave -functions have been obtained explicitly. Improved Pekeris-type approximation Schemes have been used to deal with the orbital centrifugal term. We have deduced expressions for the bound-state energy eigenvalues of the Morse and shifted Deng-Fan oscillator as special cases of the GMO, and computed their resulting bound-state energy eigenvalues for H2, CO, HCl and LiH diatomic molecules. Our results are in good agreement with other results in the literature.
