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Energy Eigenvalue of Hulthen Potential Using Nikiforov-Uvarov and Asymptotic Iterative Method of Hydrogen and Hydrogen-Like Atom

DOI: 10.4236/ojm.2022.121002, PP. 31-46

Keywords: Hulthen Potential, NU and AI Method, Schrodinger Equation, Quantum Num-bers

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Abstract:

The objective of this work is to calculate and compare the energy eigenvalue of Hulthen Potential using the NU method and AIM method. Using these two methods the energy eigenvalue calculated from the NU method is less than \"\"?AIM method. Moreover, the energy eigenvalue calculated from both methods is charge independent and only depends upon the quantum numbers and screening parameters, while the third term of energy eigenvalue calculated using the NU method is only dependent on screening parameters.

References

[1]  Singh, S.P. (2013) Solving Hydrogen Atom Problem Using Spherical Polar Coordinates: A Qualitative Study. European Journal of Physics Education, 10, 21 p.
[2]  Gu, X.Y., Zhang, M. and Sun, J.Q. (2010) Energy Spectra of the Generalized Hulthen Potential. Chinese Journal of Physics, 48, 222-229.
[3]  Okon, I.B. and Popoola, O. (2015) Bound-State Solution of Schrodinger Equation with Hulthen Plus Generalized Exponential Coulomb Potential Using Nikiforov-Uvarov Method. International Journal of Recent Advances in Physics, 4, 1-12.
https://doi.org/10.14810/ijrap.2015.4301
[4]  Fleischer, W. and Soff, G. (1984) Bound State Solutions of the Klein-Gordon Equation for Strong Potentials. Zeitschrift für Naturforschung A, 39a, 703-719.
https://doi.org/10.1515/zna-1984-0801
[5]  Molaee, Z., Bahar, M.K., Yasuk, F. and Hassanabadi, H. (2013) Solutions of the Duffin-Kemmer-Petiau Equation in the Presence of Hulthén Potential in (1+2) Dimensions for Unity Spin Particles using the Asymptotic Iteration Method. Chinese Physics B, 22, Article ID: 060306.
https://doi.org/10.1088/1674-1056/22/6/060306
[6]  Bayrak, O. and Boztosun, I. (2007) Bound State Solutions of the Hulthén Potential by Using the Asymptotic Iteration Method. Physica Scripta, 76, 92-96.
https://doi.org/10.1088/0031-8949/76/1/016
[7]  Okon, I.B., Popoola, O. and Isonguyo, C.N. (2017) Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method. Advances in High Energy Physics, 2017, Article ID: 9671816.
https://doi.org/10.1155/2017/9671816
[8]  Szego, G. (1939) Orthogonal Polynomials. American Mathematical Society, New York.
[9]  Nikiforov, A.V. and Uvarov, V.B. (1988) Special Functions of Mathematical Physics. Birkhauser, Boston.
https://doi.org/10.1007/978-1-4757-1595-8
[10]  Karayer, H., Demirhan, D. and Büyükkılıç, F. (2015) Extension of Nikiforov-Uvarov Method for the Solution of Heun Equation. Journal of Mathematical Physics, 56, Article ID: 063504.
https://arxiv.org/pdf/1504.03518.pdf
https://doi.org/10.1063/1.4922601
[11]  Radulescu, V. (2008) Rodrigues-Type Formulae for Hermite and Laguerre Polynomials. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 16, 109-116.
[12]  Shakil, M., Kibria, B.M.G. and Singh, J.N. (2010) A New Family of Distributions Based on the Generalized Pearson Differential Equation with Some Applications. Austrian Journal of Statistics, 39, 259-278.
https://doi.org/10.17713/ajs.v39i3.248
[13]  Rajabi, A.A. and Hamzavi, M. (2013) A New Coulomb Ring-Shaped Potential via Generalized Parametric Nikiforov-Uvarov Method. Journal of Theoretical and Applied Physics, 7, Article No. 17.
[14]  Bayrak, O. and Boztosun, I. (2007) An Alternative Accurate Solution of the Exponential Cosine Screened Coulomb Potential. International Journal of Modern Physics C, 18, 1443-1451.
https://doi.org/10.1142/S0129183107011455
[15]  Gulyamov, A.G. (2015) System of Potential Barriers in Nanostructures. World Journal of Condensed Matter Physics, 5, 60-65.
https://doi.org/10.4236/wjcmp.2015.52009
[16]  Thanh, L.D. (2018) Streaming Potential and Zeta Potential Measurements in Porous Rocks. Journal of Geoscience and Environment Protection, 6, 89-100.
https://doi.org/10.4236/gep.2018.611007
[17]  Rajbongshi, H. and Singh, N.N. (2013) Generation of Exactly Solvable Potentials of position-dependent Mass Schrödinger Equation from Hulthen Potential. Journal of Modern Physics, 4, 1540-1545.
https://doi.org/10.4236/jmp.2013.411189
[18]  Yoon, J.H., and Yun, Y. (2000) Solution of the S-Wave for Generalized Hulthen Potential by Asymptotic Iteration Method. Journal of the Korean Physical Society, 37, 73-75.
[19]  Stanek, J. (2011) Approximate Analytical Solutions for Arbitrary l-State of the Hulthén Potential with an Improved Approximation of the Centrifugal Term. Central European Journal of Chemistry, 9, 737-742.
https://doi.org/10.2478/s11532-011-0050-6
[20]  Elviyanti, I.L., Pratiwi, B.N., Suparmi, A. and Cari, C. (2018) The Application of Minimal Length in Klein-Gordon Equation with Hulthen Potential Using Asymptotic Iteration Method. Advance in Mathematical Physics, 2018, Article ID: 9658679.
https://doi.org/10.1155/2018/9658679
[21]  Ikhdair, S.M. and Sever, R. (2007) Approximate Eigenvalue and Eigenfunction Solutions for the Generalized Hulthen Potential with Any Angular Momentum. Journal of Mathematical Chemistry, 42, 461-471.
https://doi.org/10.1007/s10910-006-9115-8
[22]  Gonul, B., Ozer, O., Cancelik, Y. and Kocak, M. (2018) Hamiltonian Hierarchy and the Hulthen Potential. Physics Letters A, 275, 238-243.
https://arxiv.org/pdf/nucl-th/0106002.pdf
[23]  Sous, A.J. (2008) The Asymptotic Iteration Method for the Eigenenergies of the Complex Potential V(x)= yx4 + iβx3 + iαx . Turkey Journal of Physics, 32, 123-131.
[24]  Ismail, M.E.H. and Saad, N. (2020) The Asymptotic Iteration Method Revisited. Journal of Mathematical Physics, 61, Article ID: 033501.
https://arxiv.org/pdf/2003.06730.pdf
https://doi.org/10.1063/1.5117143
[25]  Agboola, D. (2010) Dirac-Hulthén Problem with Position-Dependent Mass in D-Dimensions. arXiv:1011.2368v1.
https://arxiv.org/pdf/1011.2368.pdf
[26]  Berkdemir, C., Berkdemir, A., and Han, J. (2006) Bound State Solutions of the Schrodinger Equation for Modified Kratzer’s Molecular Potential. Chemical Physics Letters, 417, 326-329.
https://doi.org/10.1016/j.cplett.2005.10.039
[27]  Bayrak, O., Kocak, G. and Boztosun, I. (2006) Any l-State Solutions of the Hulthén Potential by the Asymptotic Iteration Method. Journal of Physics A: Mathematical and General, 39, 11521-11529.
http://arxiv.org/abs/math-ph/0609010v1

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