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Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential

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Abstract

The Schrödinger-like equation written in terms of the displacement operator is solved analytically for a inverse square plus Coulomb-like potential. Starting from the new Hamiltonian, the effects of the spatially dependent mass on the bound states and normalized wave functions of the “usual” inverse square plus Coulomb interaction are discussed.

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Authors and Affiliations

  1. Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey

    Altuğ Arda

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

    Ramazan Sever

Authors
  1. Altuğ Arda
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  2. Ramazan Sever
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Correspondence to Altuğ Arda.

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Arda, A., Sever, R. Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential. Few-Body Syst 56, 697–702 (2015). https://doi.org/10.1007/s00601-015-1008-6

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  • DOI: https://doi.org/10.1007/s00601-015-1008-6

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