Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method. (English) Zbl 1523.81213
Summary: The analytical methods for solving Schrödinger equation are essential and effective tools with which we can investigate the spectroscopic properties, the electronic structure, and the energetic properties of the diatomic molecules (DMs). Accordingly, in this work, we used the Nikiforov-Uvarov (NU) method to solve the three-dimensional nonrelativistic Schrödinger equation with the molecular Kratzer-Feus (KF) potential and obtain the exact analytical bound state energy eigenvalues as well as their corresponding normalized eigenfunctions. The effective KF diatomic molecular potential well is investigated and represented graphically for several well-known DMs. The bound state energy levels are tabulated numerically for arbitrary values of the vibrational and rotational quantum numbers. The results obtained in this work are found to be in excellent agreement with the already-existing results in the literature.
MSC:
| 81V55 | Molecular physics |
| 70F05 | Two-body problems |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35A09 | Classical solutions to PDEs |
| 35P05 | General topics in linear spectral theory for PDEs |
| 35P10 | Completeness of eigenfunctions and eigenfunction expansions in context of PDEs |
| 62H22 | Probabilistic graphical models |
Keywords:
Kratzer-Feus potential; Nikiforov-Uvarov method; diatomic molecules; Schrödinger equation; analytical solutionReferences:
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