?-State Solutions of Multiparameter Exponential-type Potentials

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Peña, J.J.^1 ; García-Martínez, J.^2 ; García-Ravelo, J.^2 ; Morales, J.^1

Universidad Autónoma Metropolitana-Azcapotzalco, CBI-Area de Física Atómica Molecular Aplicada, Av. San Pablo 180, 02200 México, D. F., Mexico^1

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional-Zacatenco, Unidad Profesional Adolfo López Mateos, Edificio 9, 07738 México D.F., Mexico^2

关键词: Bound state solutions;    Exponential type;    Multiparameters;    State solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012199/pdf
DOI  :  10.1088/1742-6596/490/1/012199

来源: IOP

【 摘 要 】

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 -state solutions for exponential-type potentials and can be used to find new solvable potentials.