Onate C A, Abolarinwa A, Salawu S O, Oladejo N K
Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria.
J Mol Model. 2020 May 20;26(6):145. doi: 10.1007/s00894-020-04359-8.
We apply the supersymmetric quantum mechanics and shape invariance approach to obtain the solutions of the 3-dimensional Schrödinger equation in the presence of a newly proposed potential model called hyperbolic-sinus potential function for any ℓ-state. Rotational-vibrational energy eigenvalues of some diatomic molecules are numerically calculated. Special cases of interest of the hyperbolic-sinus potential function are also studied. Our results indicated that the energy eigenvalue is highly sensitive to the potential parameters.
我们应用超对称量子力学和形状不变性方法，在存在一种新提出的称为双曲正弦势函数的势模型的情况下，获得任意ℓ态下三维薛定谔方程的解。对一些双原子分子的转动 - 振动能量本征值进行了数值计算。还研究了双曲正弦势函数的一些特殊有趣情况。我们的结果表明，能量本征值对势参数高度敏感。
