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Czasopismo
2008 | 6 | 2 | 356-362
Tytuł artykułu

Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.
Wydawca

Czasopismo
Rocznik
Tom
6
Numer
2
Strony
356-362
Opis fizyczny
Daty
wydano
2008-06-01
online
2008-03-26
Twórcy
  • Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, China, qwcqj@pub.xaonline.com
autor
  • Xi’an Microelectronics Technology Institute, Xi’an, 710054, China
autor
  • The Fourth Military Medical University, Xi’an, 710038, China
Bibliografia
  • [1] F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995) http://dx.doi.org/10.1016/0370-1573(94)00080-M[Crossref]
  • [2] A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basle, 1988)
  • [3] H. Ciftci, R.L. Hall, N. Saad, J. Phys. A 36, 11807 (2003)
  • [4] H. Ciftci, R.L. Hall, N. Saad, J. Phys. A 38, 1147 (2005) http://dx.doi.org/10.1088/0305-4470/38/5/015[Crossref]
  • [5] Z.Q. Ma, B.W. Xu, Europhys. Lett. 69, 685 (2005) http://dx.doi.org/10.1209/epl/i2004-10418-8[Crossref]
  • [6] Z.Q. Ma, B.W. Xu, A. P. S 55, 1571 (2006) (in Chinese)
  • [7] W.C. Qiang, S.H. Dong, Phys. Lett. A 363, 169 (2007) http://dx.doi.org/10.1016/j.physleta.2006.10.091[Crossref]
  • [8] Wen-Chao Qiang, Run-Suo Zhou, Yang Gao, J. Phys. A 40, 1677 (2007) http://dx.doi.org/10.1088/1751-8113/40/7/016[Crossref]
  • [9] O. Bayrak, I. Boztosun, J. Phys. A 39, 6955 (2006) http://dx.doi.org/10.1088/0305-4470/39/22/010[Crossref]
  • [10] O. Bayrak, G. Kocak, I. Boztosun, J. Phys. A 39, 11521 (2006)
  • [11] O. Bayrak, I. Boztosun, Physica Scripta 76, 92 (2007) http://dx.doi.org/10.1088/0031-8949/76/1/016[Crossref]
  • [12] O. Bayrak, I. Boztosun, J. Mol. Struct. 802, 17 (2007)
  • [13] O. Bayrak, I. Boztosun, J. Phys. A 40, 11119 (2007)
  • [14] L. Hulthén, Ark. Mat. Astron. Fys. A 28, 5 (1942)
  • [15] Y.P. Varshni, Phys. Rev. A 41, 4682 (1990) http://dx.doi.org/10.1103/PhysRevA.41.4682[Crossref]
  • [16] B. Gonul, O. Ozer, Y. Cancelik, M. Kocak, Phys. Lett. A 275, 238 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00590-9[Crossref]
  • [17] W. Lucha, F.F. Schöberl, Int. J. Mod. Phys. C 10, 607 (1999) http://dx.doi.org/10.1142/S0129183199000450[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0041-1
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