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Exact solution of Schrodinger equation for Pseudoharmonic potential
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Date
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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The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential.
Exact solution of effective mass Schrodinger equation for the Hulthen potential
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A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
Exact solution of Schrodinger equation with deformed ring-shaped potential
Aktas, M; Sever, Ramazan (2005-01-01)
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.
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.
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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.