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On the bound-state solutions of the Manning-Rosen potential including an improved approximation to the orbital centrifugal term (Ikhdair, Sameer M.,)
Bibliographical information (record 266068)
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On the bound-state solutions of the Manning-Rosen potential including an improved approximation to the orbital centrifugal term
Author:
 Ikhdair, Sameer M., Search Author in Amazon Books

Publisher:
Iop Publishing Ltd,
Edition:
 2011.
Classification:
 QC 21.3
URL:
http://library.neu.edu.tr:2048/login?url=http://dx.doi.org/10.1088/0031-8949/83/01/015010
Detailed notes
    - The approximate analytical bound-state solution of the Schrodinger equation for the Manning-Rosen (MR) potential is found by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the calculations. We obtain analytic forms for the energy eigenvalues and the corresponding normalized wave functions in terms of Jacobi polynomials or hypergeometric functions for different screening parameters 1/b. The rotational-vibrational energy states for a few diatomic molecules are calculated for arbitrary quantum numbers n and l with different values of the potential parameter alpha. The present numerical results agree within five decimal digits with the previously reported results for different 1/b values. A few special cases of the s-wave (l = 0) MR potential and the Hulthen potential are also studied.
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Status
Library
Section
EOL-1311
Item available
NEU Grand LibraryOnline (QC 21.3 .O5 2011)
Online electronic
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