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Chin. Phys. B, 2017, Vol. 26(10): 100301    DOI: 10.1088/1674-1056/26/10/100301
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Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential

Ahmet Taş, Ali Havare
Mersin University, Department of Physics, Mersin 33343, Turkey
Abstract  

In this study, we present the analytical solutions of bound states for the Schrödinger equation with the multiparameter potential containing the different types of physical potentials via the asymptotic iteration method by applying the Pekeris-type approximation to the centrifugal potential. For any n and l (states) quantum numbers, we derive the relation that gives the energy eigenvalues for the bound states numerically and the corresponding normalized eigenfunctions. We also plot some graphics in order to investigate effects of the multiparameter potential parameters on the energy eigenvalues. Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature.

Keywords:  multiparameter potential      Schrödinger equation      bound states      asymptotic iteration method  
Received:  19 May 2017      Revised:  30 June 2017      Published:  05 October 2017
PACS:  03.65.Nk (Scattering theory)  
  03.65.Ge (Solutions of wave equations: bound states)  
  02.30.Gp (Special functions)  
  21.60.-n (Nuclear structure models and methods)  
Corresponding Authors:  Ahmet Taş     E-mail:  aahmet.tas@gmail.com

Cite this article: 

Ahmet Taş, Ali Havare Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential 2017 Chin. Phys. B 26 100301

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