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2009 | 7 | 1 | 175-183
Article title

The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

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The approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.
Physical description
1 - 3 - 2009
8 - 1 - 2009
  • [1] L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1995)
  • [2] L. D. Landau, E. M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory, 3rd ed. (Pergamon, New York, 1977)
  • [3] S. H. Dong, Factorization Method in Quantum Mechanics (Springer, Berlin, 2007)
  • [4] F. Correa, M. S. Plyushchay, Ann. Phys.-New York 322, 2493 (2007)[Crossref]
  • [5] F. Correa, V. Jakubský, L.M. Nieto, M. S. Plyushchay, Phys. Rev. Lett. 101, 030403 (2008)[Crossref]
  • [6] F. Correa, V. Jakubský, M. S. Plyushchay, arXiv:0809.2854 [WoS]
  • [7] W. C. Qiang, S. H. Dong, Phys. Lett. A 368, 13 (2007)[Crossref]
  • [8] S. H. Dong, W. C. Qiang, G. H. Sun, V. B. Bezerra, J. Phys. A: Math. Theor. 40, 10535 (2007)[Crossref]
  • [9] C. Y. Chen, F. L. Lu, D. S. Sun, Phys. Lett. A 370, 219 (2007)[Crossref]
  • [10] S. H. Dong, W. C. Qiang, Int. J. Mod. Phys. A 23, 1537 (2008)[Crossref]
  • [11] G. F. Wei, C. Y. Long, S. H. Dong, Phys. Lett. A 372, 2592 (2008)[Crossref]
  • [12] G. F. Wei, C. Y. Long, X. Y. Duan, S. H. Dong, Phys. Scr. 77, 035001 (2008)[Crossref]
  • [13] W. C. Qiang, S. H. Dong, Phys. Lett. A 372, 4789 (2008)[Crossref]
  • [14] S. S. Dong, J. García-Ravelo, S. H. Dong, Phys. Scr. 76, 393 (2007)[Crossref]
  • [15] M. F. Manning, Rosen N, Phys. Rev. 44, 953 (1933)
  • [16] N. Rosen, P. M. Morse, Phys. Rev. 42, 210 (1932)[Crossref]
  • [17] I. Infeld, T. E. Hull, Rev. Mod. Phys. 23, 21 (1951)[Crossref]
  • [18] C. Y. Chen, F. L. Lu, D. S. Sun, Phys. Scr. 76, 428 (2007)[Crossref]
  • [19] A. Diaf, A. Chouchaoui, R.J. Lombard, Ann. Phys. 317, 354 (2005)
  • [20] S. M. Ikhdair, R. Sever, Annalen der Physik (2008) (Early View), arXiv:0801.3518
  • [21] A. Soylu, O. Bayrak, I. Boztosun, Chin. Phys. Lett. 25, 2754 (2008)[Crossref]
  • [22] W. Lucha, F.F. Schöberl, Int. J. Mod. Phys. C 10, 607 (1999)[Crossref]
  • [23] C. S. Jia, J. Y. Liu, P. Q. Wang, Phys. Lett. A 372, 4779 (2008)[Crossref]
  • [24] O. Bayrak, G. Kocak, I. Boztosun, J. Phys. A: Math. Gen. 39, 11521 (2006)[Crossref]
  • [25] B. Gönül, O. özer, Y. Cançelik, M. Koçak, Phys. Lett. A 275, 238 (2000)[Crossref]
  • [26] R. L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976)[Crossref]
  • [27] I.S. Gradsgteyn, I.M. Ryzhik, Tables of Integrals, Series, and Products, 5th ed. (Academic Press, New York, 1994)
  • [28] A. D. Alhaidari, Int. J. Mod. Phys. A 20, 2657 (2005)[Crossref]
  • [29] A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem, F. S. Al-Ameen, T. H. Al-Abdulaal, Phys. Lett. A 364, 372 (2007)[Crossref]
  • [30] G. F. Wei, C. Y. Long, S. J. Qin, X. Zhang, Acta Phys. Sin. 2008, (in Press) (in Chinese)
  • [31] S. M. Ikhdair, R. Sever, arXiv:0801.4271 [WoS]
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