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Bound state solution of the Schrödinger equation for Mie potential

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Exact solution of Schrödinger 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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Authors and Affiliations

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

    Ramazan Sever & Mahmut Bucurgat

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

    Cevdet Tezcan

  3. Turkish Atomic Energy Authority, Istanbul Road, 30 km Kazan, 06893, Ankara, Turkey

    Özlem Yeşiltaş

Authors
  1. Ramazan Sever
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  2. Mahmut Bucurgat
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  3. Cevdet Tezcan
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  4. Özlem Yeşiltaş
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Correspondence to Ramazan Sever.

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Sever, R., Bucurgat, M., Tezcan, C. et al. Bound state solution of the Schrödinger equation for Mie potential. J Math Chem 43, 749–755 (2008). https://doi.org/10.1007/s10910-007-9228-8

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  • DOI: https://doi.org/10.1007/s10910-007-9228-8

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