Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method
نویسندگان
چکیده
The Schrödinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The Nikiforov-Uvarov (NU) method is used in the calculations. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the potential parameter α. It is shown that the results are in good agreement with the those obtained by other methods for short potential range, small l and α. This solution reduces to two cases l = 0 and Hulthén potential case.
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Approximate l-state solutions of the D-dimensional Schrödinger equation for Manning-Rosen potential
The Schrödinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The Nikiforov-Uvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to twoand four-dimensional systems for arbitrary quantum numbers n and l with three ...
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