Bound state solutions of d -dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

We study the d-dimensional Schrodinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of a Jacobi polynomial. We also discuss two spe...

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Bibliographic Details
Published in:Chinese physics B 2013-02, Vol.22 (2), p.20304-1-020304-6
Main Authors: Ikot, Akpan N., Awoga, Oladunjoye A., Antia, Akaninyene D.
Format: Article
Language:English
Subjects:
Computation
Deformation
Eigenvalues
Mathematical models
Polynomials
Schroedinger equation
Three dimensional
Wave functions
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Summary:We study the d-dimensional Schrodinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of a Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen-Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials.
ISSN:1674-1056
1741-4199
DOI:10.1088/1674-1056/22/2/020304