Exact solutions of the radial Schrodinger equation for some physical potentials

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2007-12-01

Author

IKHDAİR, SAMEER
Sever, Ramazan

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By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.

Subject Keywords

Eigenvalues and eigenfunctions, Bound-states;, Kratzer's potential, Pseudoharmonic potential, Wavefunction ansatz

URI

https://hdl.handle.net/11511/62655

Journal

CENTRAL EUROPEAN JOURNAL OF PHYSICS

DOI

https://doi.org/10.2478/s11534-007-0022-9

Collections

Department of Physics, Article

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Exact solution of Schrodinger equation for Pseudoharmonic potential Sever, Ramazan; TEZCAN, CEVDET; Aktas, Metin; Yesiltas, Oezlem (2008-02-01) 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.

Citation Formats

S. IKHDAİR and R. Sever, “Exact solutions of the radial Schrodinger equation for some physical potentials,” CENTRAL EUROPEAN JOURNAL OF PHYSICS, pp. 516–527, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62655.