The non-relativistic analytic solutions of a quantum mechanical system have been calculated for the case of pseudoharmonic potential by using the Whittaker functions approach. A diatomic quantum system is placed in a Pseudoharmonic potential and perturbed by an external magnetic field. The resulting Schrodinger’s equation has been solved exactly to obtain the analytic expressions of vibrational energy levels and associated wave functions. In this work, we have compared the results of six diatomic molecules with those available in the literature.

中文翻译：

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拟谐波势的振动能级的解析解

通过使用Whittaker函数方法，计算了伪谐势情况下量子力学系统的非相对论解析解。将双原子量子系统置于伪谐波电位中，并使其受到外部磁场的干扰。精确求解了所得的薛定exactly方程，以获得振动能级和相关波函数的解析表达式。在这项工作中，我们将六个双原子分子的结果与文献中的结果进行了比较。