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A New Approach to the Exact Solutions of the Effective Mass Schrödinger Equation

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Abstract

Effective mass Schrödinger equation is solved exactly for a given 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. The effective mass Schrödinger equation is also solved for the Morse potential transforming to the constant mass Schrödinger equation for a potential. One can also get solution of the effective mass Schrödinger equation starting from the constant mass Schrödinger equation.

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Authors and Affiliations

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

    Cevdet Tezcan

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

    Ramazan Sever

  3. Faculty of Arts and Sciences, Department of Physics, Gazi University, 06500, Ankara, Turkey

    Özlem Yeşiltaş

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

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Tezcan, C., Sever, R. & Yeşiltaş, Ö. A New Approach to the Exact Solutions of the Effective Mass Schrödinger Equation. Int J Theor Phys 47, 1713–1721 (2008). https://doi.org/10.1007/s10773-007-9613-x

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  • DOI: https://doi.org/10.1007/s10773-007-9613-x

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