Analytical solution of Klein Gordon equation Trigonometric Pӧschl-Teller potential using asymptotic iteration method
Abstract
Radial part of Klein Gordon equation for trigonometric Pӧschl-Teller potential was obtained within framework of a centrifugal term approximation. The relativistic energy spectrum and wave functions was obtain by using asymptotic iteration method. The value of relativistic energy was calculated numerically using Matlab 2013. The results showed that the relativistic energy is increasing due to the increase of potential constant and quantum number.
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Alhaidari, A. D., Bahlouli, H., & Al-Hasan, A. (2006). Dirac and Klein-Gordon equations with equal scalar and vector potentials. Physics Letters, Section A: General, Atomic and Solid State Physics, 349(1–4), 87–97. https://doi.org/10.1016/j.physleta.2005.09.008
Barakat, T. (2006). The asymptotic iteration method for dirac and klein gordon equations with a linear scalar potential. International Journal of Modern Physics A, 21(19), 4127–4135.
Bayrak, O., & Boztosun, I. (2006). Arbitrary ℓ-state solutions of the rotating Morse potential by the asymptotic iteration method. Journal of Physics A: Mathematical and General, 39(22), 6955. https://doi.org/10.1088/0305-4470/39/22/010
Das, T. (2014). Exact Solutions of the Klein-Gordon Equation for q-Deformed Manning-Rosen Potential via Asymptotic Iteration Method. arXiv:1409.1457v1 [Quant-Ph], 1–11.
Ikhdair, S. M. (2011). Bound states of the Klein-Gordon equation in D-dimensions with some physical scalar and vector exponential-type potentials including orbital centrifugal term. arXiv:1110.0943v1 [Quant-Ph], 1–25. Retrieved from http://arxiv.org/abs/1110.0943
Ikhdair, S. M., & Sever, R. (2008). Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential. arXiv:0808.1002v1 [Quant-Ph], 1–14. https://doi.org/10.1142/S0129183108012923
Momtazi, E., Rajabi, A. A., & Yazarloo, B. H. (2014). Analytical solution of the Klein – Gordon equation under the Coulomb-like scalar. Turkish Journal of Physics, 38(1), 81–85. https://doi.org/10.3906/fiz-1305-7
Pramono, S., Suparmi, A., & Cari, C. (2016). Relativistic Energy Analysis of Five-Dimensional q -Deformed Radial Rosen-Morse Potential Combined with q -Deformed Trigonometric Scarf Noncentral Potential Using Asymptotic Iteration Method. Advances in High Energy Physics, 2016. https://doi.org/10.1155/2016/7910341
Qiang, W. C., & Dong, S. H. (2007). Arbitrary l-state solutions of the rotating Morse potential through the exact quantization rule method. Physics Letters, Section A: General, Atomic and Solid State Physics, 363(3), 169–176. https://doi.org/10.1016/j.physleta.2006.10.091
Setare, M. R., & Nazari, Z. (2009). Solution of Dirac Equations With Five-Parameter Exponent-Type Potential. Acta Physica Polonica B, 40(10), 2809–2824.
Suparmi, A., Cari, C., Deta, U. A., Husein, A. S., & Yuliani, H. (2014). Exact Solution of Dirac Equation for q-Deformed Trigonometric Scarf potential with q-Deformed Trigonometric Tensor Coupling Potential for Spin and Pseudospin Symmetries Using Romanovski Polynomial. Journal of Physics: Conference Series, 539, 12004. https://doi.org/10.1088/1742-6596/539/1/012004
Wei, G. F., Liu, X. Y., & Chen, W. L. (2009). The relativistic scattering states of the hulthén potential with an improved new approximate scheme to the centrifugal term. International Journal of Theoretical Physics, 48(6), 1649–1658. https://doi.org/10.1007/s10773-009-9937-9
Xu, Y., He, S., & Jia, C.-S. (2010). Approximate analytical solutions of the Klein–Gordon equation with the Pöschl–Teller potential including the centrifugal term. Physica Scripta, 81(4), 45001. https://doi.org/10.1088/0031-8949/81/04/045001
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