Any ?-state solutions of the Feynman propagator for the q-deformed Woods-Saxon potential in arbitrary dimensions

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Diaf, A.^1 ; Roubehie, Dj^1

Laboratoire de l'Énergie et des Systèmes Intelligents, Université de Khemis Miliana, Route de Thénia, Khemis Miliana, Algeria^1

关键词: Analytical expressions;    Approximate analytical solutions;    Arbitrary dimension;    Energy eigenvalues;    Feynman propagator;    Hypergeometric functions;    Quantum numbers;    Space-time transformations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012001/pdf
DOI  :  10.1088/1742-6596/574/1/012001

来源: IOP

【 摘 要 】

Using the space-time transformations, approximate analytical solutions of the D- dimensional propagator in the presence of q-deformed Woods-Saxon potential are obtained. The analytical expression of the energy eigenvalues is given for various quantum numbers and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric function. Our results are compared with those given by The Nikivorov-Uvarov method.