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Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The approximately analytical bound state solutions of the l-wave Schrödinger equation for the Manning-Rosen (MR) potential are carried out by a proper approximation to the centrifugal term.
The energy spectrum formula and normalized wave functions expressed in terms of the Jacobi polynomials are both obtained for the application of the Nikiforov-Uvarov (NU) method to the Manning-Rosen potential.
To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary principal and orbital quantum numbers n and l with two different values of the potential screening parameter α.
It is found that our results are in good agreement with the those obtained by other methods for short potential range, lowest values of orbital quantum number l, and α.
Two special cases of much interest are investigated like the s-wave case and Hulthén potential case.
American Psychological Association (APA)
Ikhdair, Sameer M.. 2012. Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-453989
Modern Language Association (MLA)
Ikhdair, Sameer M.. Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method. ISRN Mathematical Physics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-453989
American Medical Association (AMA)
Ikhdair, Sameer M.. Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-453989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453989