Arbitrary ?-state solutions of the Feynman propagator with the Deng-Fan molecular potential

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Diaf, Ahmed^1

Laboratoire de l'Énergie et des Systèmes Intelligents, Université de Khemis Miliana, Route de Thénia, Khemis Miliana

44225, Algeria^1

关键词: Bound state solutions;    Energy spectra;    Feynman propagator;    Molecular potential;    Path integral;    Space-time transformations;    State solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012022/pdf
DOI  :  10.1088/1742-6596/574/1/012022

来源: IOP

【 摘 要 】

The bound state solutions of the Feynman propagator with the rotating Deng- Fan molecular potential are presented approximately. An approximation of the centrifugal potential is used and nonlinear space-time transformations are applied. A relation between the original path integral and the Green function of a new quantum soluble system is derived. The energy spectrum and the normalized eigenfunctions are both obtained for the application of this technique to the Deng-Fan molecular potential. Our results are in very good agreement with those found by using numerical and other methods.