Bound state solutions of the generalized shifted Hulthén potential

In this study, we obtain an approximate solution of the Schrödinger equation in arbitrary dimensions for the generalized shifted Hulthén potential model within the framework of the Nikiforov–Uvarov method. The bound state energy eigenvalues were computed, and the corresponding eigenfunction was also...

Full description

Saved in:
Bibliographic Details
Published inIndian journal of physics Vol. 95; no. 3; pp. 471 - 480
Main Authors Edet, C. O., Okoi, P. O., Yusuf, A. S., Ushie, P. O., Amadi, P. O.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.03.2021
Springer Nature B.V
Subjects
Astrophysics and Astroparticles
Eigenvalues
Eigenvectors
Original Paper
Physics
Physics and Astronomy
Schrodinger equation
Schrodinger equation
03.65.−w
03.65.Ca
03.65.Ge
Nikiforov–Uvarov (NU) method
02.30.Gp
Shifted, Hulthén potential
Generalized shifted Hulthén potential
Online AccessGet full text

Cover

More Information
Summary:In this study, we obtain an approximate solution of the Schrödinger equation in arbitrary dimensions for the generalized shifted Hulthén potential model within the framework of the Nikiforov–Uvarov method. The bound state energy eigenvalues were computed, and the corresponding eigenfunction was also obtained. It is found that the numerical eigenvalues were in good agreement for all three approximations scheme used. Special cases were considered when the potential parameters were altered, resulting in Hulthén potential and Woods–Saxon Potential, respectively. Their energy eigenvalues expressions agreed with the already existing literature. A straightforward extension to the s-wave case for Hulthén potential and Woods–Saxon potential cases is also presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-019-01650-0