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Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentials

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Central European Journal of Physics

Abstract

The asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine, tangent-squared, and complex cotangent). Analytic and approximate solutions are obtained by first using a coordinate transformation to reduce the Schrödinger equation to a second-order differential equation with an appropriate form. The asymptotic iteration method is also employed indirectly to obtain the terms in perturbation expansions, both for the energies and for the corresponding eigenfunctions.

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Author information

Authors and Affiliations

  1. Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, Teknikokullar-Ankara, 06500, Turkey

    Hakan Ciftci

  2. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, H3G 1M8, Canada

    Richard L. Hall

  3. Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, C1A 4P3, Canada

    Nasser Saad

Authors
  1. Hakan Ciftci
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  2. Richard L. Hall
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  3. Nasser Saad
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Correspondence to Nasser Saad.

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Ciftci, H., Hall, R.L. & Saad, N. Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentials. centr.eur.j.phys. 11, 37–48 (2013). https://doi.org/10.2478/s11534-012-0147-3

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  • DOI: https://doi.org/10.2478/s11534-012-0147-3

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