Solution of Five-dimensional Schrodinger equation for Kratzer’s potential and trigonometric tangent squared potential with asymptotic iteration method (AIM)

Agung Budi Prakoso, A Suparmi, C Cari

Abstract

Non-relativistic bound-energy of diatomic molecules determined by non-central potentials in five dimensional solution using AIM. Potential in five dimensional space consist of Kratzer’s potential for radial part and Tangent squared potential for angular part. By varying nr, n1, n2, n3, dan n4 quantum number on CO, NO, dan I2 diatomic molecules affect bounding energy values. It knows from its numerical data.

Keywords

Schrodinger equation; D-dimension; Kratzer’s potential; Tangent squared potential; AIM

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References

Arbabi, S. (2016). Exact solitary wave solutions of the complex nonlinear Schrödinger equations. Optik, 4682–4688.

Barakat, T. (2009). Perturbed Coulomb potentials in the Klein–Gordon equation via the asymptotic iteration method. Annals of Physics, 725–733.

Barakat, T., & Alhendi, H.A. (2013). Generalized Dirac Equation with Induced Energy-Dependent Potential via Simple Similarity Transformation and Asymptotic Iteration Methods. Found Physics, 43, 1171–1181.

Bayrak, O., Boztosun, I., & Ciftci, H. (2006). Exact Analytical Solutions to the Kratzer Potential by the Asymptotic Iteration Method. Wiley InterScience, 107, 540–544.

Ciftchi, H., Hall, R.L., & Saad, N. (2013). Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentials. Central European Journal of Physics, 11(1), 37-48.

Dong, Shi Hai. (2011). Wave equations in higher dimensions. New York : Springer.

Falaye, B. (2012). Arbitrary -State Solutions of the Hyperbolical Potential by the Asymptotic Iteration Method. Few-Body Syst, 53, 557–562

Hassanabadi, M., Yazarloo, B.H., Mahmoudieh, M., & Zarrinkamar, S. (2013). Dirac equation under the Deng-Fan potential and the Hulthen potential as a tensor interaction via SUSYQM. The European Physical Journal Plus, 128, 111-123

Sari, R.A., Suparmi, A., Cari, C. (2015). Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method. Chin. Phys. B, 25

Yahya, W., & Oyewumi, K. (2015). Thermodynamic properties and approximate solutions of the l state Poschl–Teller-type potential. Journal of the Association of Arab Universities for Basic and Applied Sciences.

DOI: https://doi.org/10.20961/jphystheor-appl.v1i2.19126

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