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Exact solution of Schrodinger equation with deformed ring-shaped potential
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Date
2005-01-01
Author
Aktas, M
Sever, Ramazan
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Exact solution of the Schrodinger equation with deformed ring-shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. The agreement of our results is good.
Subject Keywords
Deformed ring-shaped potential
,
The Nikiforov-Uvarov method
URI
https://hdl.handle.net/11511/62687
Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
https://doi.org/10.1007/s10910-004-1446-8
Collections
Department of Physics, Article
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An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen pot...
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M. Aktas and R. Sever, “Exact solution of Schrodinger equation with deformed ring-shaped potential,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 139–148, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62687.