Exact solution of Schrodinger equation for Pseudoharmonic potential

Download

index.pdf

Date

2008-02-01

Author

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

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

232
views

64
downloads

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

Suggestions

OpenMETU
Core

Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential Ikhdair, Sameer; Sever, Ramazan (2007-03-31) 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 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.
Exact solution of effective mass Schrodinger equation for the Hulthen potential Sever, Ramazan; TEZCAN, CEVDET; Yesiltas, Oezlem; Bucurgat, Mahmut (2008-09-01) 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.
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.
Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation IKHDAİR, SAMEER; Sever, Ramazan (2008-04-30) The polynomial solution of the D-dimensional Schrodinger equation for a special case of Mie potential is obtained with an arbitrary l not equal 0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.

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.