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Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials

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Abstract

We obtain the exact analytical solution of the Klein-Gordon equation for the exponential vector and scalar potentials by using the asymptotic iteration method. For the scalar potential greater than the vector potential case, the exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunction solutions are obtained in terms of the confluent hypergeometric functions.

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Authors and Affiliations

  1. Department of Physics, Erciyes University, 38039, Kayseri, Turkey

    F. Taşkın, I. Boztosun & O. Bayrak

  2. Department of Physics, Bozok University, 66200, Yozgat, Turkey

    O. Bayrak

Authors
  1. F. Taşkın
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  2. I. Boztosun
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  3. O. Bayrak
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Correspondence to F. Taşkın.

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Taşkın, F., Boztosun, I. & Bayrak, O. Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials. Int J Theor Phys 47, 1612–1617 (2008). https://doi.org/10.1007/s10773-007-9602-0

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  • DOI: https://doi.org/10.1007/s10773-007-9602-0

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