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2011 | 9 | 4 | 737-742
Article title

Approximate analytical solutions for arbitrary l-state of the Hulthén potential with an improved approximation of the centrifugal term

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Languages of publication
EN
Abstracts
EN
An approximate analytical solution of the radial Schrödinger equation for the generalized Hulthén potential is obtained by applying an improved approximation of the centrifugal term. The bound state energy eigenvalues and the normalized eigenfunctions are given in terms of hypergeometric polynomials. The results for arbitrary quantum numbers n r and l with different values of the screening parameter δ are compared with those obtained by the numerical method, asymptotic iteration, the Nikiforov-Uvarov method, the exact quantization rule, and variational methods. The results obtained by the method proposed in this work are in a good agreement with those obtained by other approximate methods. [...]
Publisher

Journal
Year
Volume
9
Issue
4
Pages
737-742
Physical description
Dates
published
1 - 8 - 2011
online
4 - 6 - 2011
Contributors
author
  • Faculty of Chemistry, Adam Mickiewicz University, 60-780, Poznań, Poland, stanek@amu.edu.pl
References
  • [1] L. Hulthén, Ark. Mat. Astron. Fys. A 28, 5 (1942)
  • [2] L. Hulthén, Ark. Mat. Astron. Fys. B 29, 1 (1942)
  • [3] S. Flügge, Practical Quantum Mechanics (Springer-Verlag, Berlin Heidelberg, 1994)
  • [4] O.L. de Lange, Am. J. Phys. 59, 151 (1991) http://dx.doi.org/10.1119/1.16596[Crossref]
  • [5] M.R. Setare, E. Karimi, Int. J. Theor. Phys. 46, 1381 (2007) http://dx.doi.org/10.1007/s10773-006-9276-z[Crossref]
  • [6] R.L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976) http://dx.doi.org/10.1103/PhysRevA.14.2363[Crossref]
  • [7] O. Bayrak, G. Kocak, I Boztosun, J. Phys. A: Math. Gen. 39, 11521 (2006) http://dx.doi.org/10.1088/0305-4470/39/37/012[Crossref]
  • [8] S.M. Ikhdair, R. Sever, J. Math. Chem. 42, 461 (2007) http://dx.doi.org/10.1007/s10910-006-9115-8[Crossref]
  • [9] W.C. Qiang, S.H. Dong, Phys. Lett. A 368, 13 (2007) http://dx.doi.org/10.1016/j.physleta.2007.03.057[Crossref]
  • [10] W.C. Qiang, Y. Gao, R.S. Zhou, Cent. Eur. J. Phys. 6, 356 (2008) http://dx.doi.org/10.2478/s11534-008-0041-1[Crossref]
  • [11] C.Y. Chen, F.L. Lu, D.-S. Sun, Cent. Eur. J. Phys. 6, 884 (2008) http://dx.doi.org/10.2478/s11534-008-0099-9[Crossref]
  • [12] C.S. Jia, J.Y. Liu, P.Q. Wang, Phys. Lett. A 372, 4779 (2008) http://dx.doi.org/10.1016/j.physleta.2008.05.030[Crossref]
  • [13] S.M. Ikhdair, Eur. Phys. J. A 39, 307 (2009) http://dx.doi.org/10.1140/epja/i2008-10715-2[Crossref]
  • [14] V.C. Aguilera-Navarro, E. Ley-Koo, S. Mateos-Cortes, Rev. Mex. Fis. 43, 413 (1998)
  • [15] S.M. Ikhdair, R. Sever, J. Math. Chem. 42, 461 (2006) http://dx.doi.org/10.1007/s10910-006-9115-8[Crossref]
  • [16] O. Bayrak, G. Kocak, I. Boztosun, J. Phys. A: Math Gen. 39, 11521 (2006) http://dx.doi.org/10.1088/0305-4470/39/37/012[Crossref]
  • [17] B. Gönül, O. Özer, Y. Cançelik, M. Koçak, Phys. Lett. A 275, 238 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00590-9[Crossref]
  • [18] A.Z. Tang, F.T. Chan, Phys. Rev. A 35, 911 (1987) http://dx.doi.org/10.1103/PhysRevA.35.911[Crossref]
  • [19] M. Badawi, N. Bessis, G. Bessis, J. Phys. B: Atom. Molec. Phys. 5, L157 (1972) http://dx.doi.org/10.1088/0022-3700/5/8/004[Crossref]
  • [20] J. Lu, Phys. Scr. 72, 349 (2005) http://dx.doi.org/10.1238/Physica.Regular.072a00349[Crossref]
  • [21] S.M. Ikhdair, R. Sever, Ann. Phys. 18, 189 (2009) http://dx.doi.org/10.1002/andp.200810349[Crossref]
  • [22] D. Schiöberg, Mol. Phys. 59, 1123 (1989) http://dx.doi.org/10.1080/00268978600102631[Crossref]
  • [23] S.M. Ikhdair, R. Sever, arXiv:0807.2085v1 (2008) [WoS]
  • [24] Y.P. Varshni, Phys. Rev. A 41, 4682 (1990) http://dx.doi.org/10.1103/PhysRevA.41.4682[Crossref]
  • [25] M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1972)
  • [26] G.F. Wei, Z.Z. Zhen, S.H. Dong, Cent. Eur. J. Phys. 7, 175 (2009) http://dx.doi.org/10.2478/s11534-008-0143-9[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11532-011-0050-6
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