Exact solution of Schrodinger equation for Pseudoharmonic potential

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2008-02-01

Author

Sever, Ramazan
TEZCAN, CEVDET
Aktas, Metin
Yesiltas, Oezlem

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Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of l and n with n <= 5 for some diatomic molecules.

Subject Keywords

Schrodinger equation, Nikiforov-Uvarov method, Diatomic molecules, Pseudoharmonic potential

URI

https://hdl.handle.net/11511/62900

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-007-9233-y

Collections

Department of Physics, Article

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Analytical solutions of Schrodinger equation for the diatomic molecular potentials with any angular momentum Akçay, Hüseyin; Sever, Ramazan (2012-08-01) Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.
Bound state solution of the Schrodinger equation for Mie potential Sever, Ramazan; Bucurgat, Mahmut; TEZCAN, CEVDET; Yesiltas, Oezlem (Springer Science and Business Media LLC, 2008-02-01) Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of l and n with n <= 5. They are applied to several diatomic molecules.

Citation Formats

R. Sever, C. TEZCAN, M. Aktas, and O. Yesiltas, “Exact solution of Schrodinger equation for Pseudoharmonic potential,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 845–851, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62900.