D-dimensional Eckart+deformed Hylleraas potential: Bound state solutions

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Peña, J.J.^1 ; Ovando, G.^1 ; Morales, J.^1

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

02200, Mexico^1

关键词: Bound state;    Bound state solutions;    Dinger equation;    Energy spectra;    Exponential type;    Multiparameters;    Point canonical transformations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012089/pdf
DOI  :  10.1088/1742-6596/574/1/012089

来源: IOP

【 摘 要 】

By using an exactly-solvable multiparameter exponential-type potential, the bound-state solutions of the D-dimensional Eckart + Hylleraas potential are directly derived as a particular case. Althought our proposal accepts different approximations to the centrifugal term, its usefulness is exemplified in the frame of the Taskin and Kocak approach. This fact enable us to compare our results with specific potentials found in literature which are obtained here as particular cases from our proposal. That is, instead of solving an specific exponential-type potential, by resorting each time to a specialized method, the energy spectra and wavefunctions are found straightforwardly by means of the simple choice of the involved parameters. Furthermore, our proposal can be used as alternative way in the search of bound-state solutions to new exponential-type potentials besides that one can study different approximations to the term 1/r2.