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Exact solution of Schrödinger equation for Pseudoharmonic potential

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Exact solution of Schrödinger 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.

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Authors and Affiliations

  1. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

  2. Faculty of Engineering, Başkent University, Bag̃lıca Campus, Ankara, Turkey

    Cevdet Tezcan

  3. Department of Physics, Faculty of Arts and Sciences, Kırıkkale University, Kırıkkale, Turkey

    Metin Aktaş

  4. Faculty of Arts and Sciences, Department of Physics, Gazi University, Teknik Okullar, 06500, Ankara, Turkey

    Özlem Yeşiltaş

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  1. Ramazan Sever
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  2. Cevdet Tezcan
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  3. Metin Aktaş
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  4. Özlem Yeşiltaş
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Correspondence to Ramazan Sever.

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Sever, R., Tezcan, C., Aktaş, M. et al. Exact solution of Schrödinger equation for Pseudoharmonic potential. J Math Chem 43, 845–851 (2008). https://doi.org/10.1007/s10910-007-9233-y

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

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