论文标题
Manning-Rosen和Pöschl-Teller电位的RO振动能量分析具有新的近似值的离心项
Ro-vibrational energy analysis of Manning-Rosen and Pöschl-Teller potentials with a new improved approximation in the centrifugal term
论文作者
论文摘要
考虑到双原子分子中的RO振动能，考虑了两个物理上重要的电位（Manning-Rosen和Pöschl-Teller）。为离心项调用了改进的新近似值，然后将其用于Nikiforov-uvarov框架内的解决方案。这采用了最近提出的方案，该方案结合了两种广泛使用的绿色Aldrich和Pekeris型近似值。因此，为特征值和本征函数得出了近似分析表达式。相对于两个近似参数，$λ$和$ν$检查了能量。对于这两个参数的某些特价值，恢复了原始近似值。这为这些量子力学中的这些和其他相关潜力提供了一个简单的有效方案。
Two physically important potentials (Manning-Rosen and Pöschl-Teller) are considered for the ro-vibrational energy in diatomic molecules. An improved new approximation is invoked for the centrifugal term, which is then used for their solution within the Nikiforov-Uvarov framework. This employs a recently proposed scheme, which combines the two widely used Greene-Aldrich and Pekeris-type approximations. Thus, approximate analytical expressions are derived for eigenvalues and eigenfunctions. The energies are examined with respect to two approximation parameters, $λ$ and $ν$. The original approximations are recovered for certain specials values of these two parameters. This offers a simple effective scheme for these and other relevant potentials in quantum mechanics.
