Abstract
In the present work, bound state solutions for a class of multiparameter exponential-type potential are obtained in the frame of the Greene and Aldrich approximation for the centrifugal term. The proposal is general and their usefulness is exemplified with the treatment of the Eckart, Manning-Rosen, Hulthen and Deng Fan potentials that are obtained straightforwardly without resorting to specialized methods of solution for each specific potential, as usually is done. Furthermore, the proposal admits other approximations for the centrifugal term indicating an improvement to procedures developed with the same objective. So, our proposal can be considered as an unified treatment of the ℓ-state solutions for exponential-type potentials and can be used to find new solvable potentials.
| Translated title of the contribution | Soluciones de estado ℓ de potenciales multiparamétricos de tipo exponencial |
|---|---|
| Original language | English |
| Article number | 012199 |
| Journal | Journal of Physics: Conference Series |
| Volume | 490 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
| Event | 2nd International Conference on Mathematical Modeling in Physical Sciences 2013, IC-MSQUARE 2013 - Prague, Czech Republic Duration: 1 Sep 2013 → 5 Sep 2013 |