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Journal
2008 | 6 | 4 | 884-890
Article title

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

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EN
Abstracts
EN
In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of t-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.
Publisher

Journal
Year
Volume
6
Issue
4
Pages
884-890
Physical description
Dates
published
1 - 12 - 2008
online
27 - 9 - 2008
Contributors
  • Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China, yctcccy@163.net
author
  • Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China
  • Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China
References
  • [1] S. Flügge, Practical Quantum Mechanics (Springer Press, Berlin, 1974)
  • [2] B. Durand, L. Durand, Phys. Rev. D 23, 1092 (1981) http://dx.doi.org/10.1103/PhysRevD.23.1092[Crossref]
  • [3] R. Dutt, K. Chowdhury, Y. P. Varshni, J. Phys. A 18, 1379 (1985) http://dx.doi.org/10.1088/0305-4470/18/9/020[Crossref]
  • [4] T. Xu, Z. Q. Cao, Y.C. Ou, Q.S. Shen, G.L. Zhu, Chin. Phys. 15, 1172 (2006) http://dx.doi.org/10.1088/1009-1963/15/6/008[Crossref]
  • [5] I.S. Bitensky, V.K. Ferleger, I.A. Wojciechowski, Nucl. Instrum. Meth. B 125, 201 (1997) http://dx.doi.org/10.1016/S0168-583X(97)00901-4[Crossref]
  • [6] C.S. Jia, J.Y. Wang, S. He, L.T. Sun, J. Phys. A 33, 6993 (2000) http://dx.doi.org/10.1088/0305-4470/33/39/313[Crossref]
  • [7] J.X. Sun, L.Y. Zhang, Acta Phys. Sin. 45, 1953 (1996) (in Chinese)
  • [8] J.A. Olson, D.A. Micha, J. Chem. Phys. 68, 4352 (1978) http://dx.doi.org/10.1063/1.435512[Crossref]
  • [9] Y.P. Varshni, Phys. Rev. A 41, 4682 (1990) http://dx.doi.org/10.1103/PhysRevA.41.4682[Crossref]
  • [10] M.A. Nunez, Phys. Rev. A 47, 3620 (1993) http://dx.doi.org/10.1103/PhysRevA.47.3620[Crossref]
  • [11] S.H. Patil, J. Phys. A 34, 3153 (2001) http://dx.doi.org/10.1088/0305-4470/34/14/319[Crossref]
  • [12] P. Matthys, H.D. Meyer, Phys. Rev. A 38, 1168 (1988) http://dx.doi.org/10.1103/PhysRevA.38.1168[Crossref]
  • [13] A.Z. Tang, F.T. Chan, Phys. Rev. A 35, 911 (1987) http://dx.doi.org/10.1103/PhysRevA.35.911[Crossref]
  • [14] B. Roy, R. Roychoudhury, J. Phys. A 20, 3051 (1987) http://dx.doi.org/10.1088/0305-4470/20/10/048[Crossref]
  • [15] B. Gönül, O. Özer, Y. Cancelik, M. Kocak, Phys. Lett. A 275, 238 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00590-9[Crossref]
  • [16] B. Gönül, Chin. Phys. Lett. 21, 1685 (2004) http://dx.doi.org/10.1088/0256-307X/21/9/002[Crossref]
  • [17] O. Bayrak, G. Kocak, I. Boztosun, J. Phys. A 39, 11521 (2006) http://dx.doi.org/10.1088/0305-4470/39/37/012[Crossref]
  • [18] F. Dominguez-Adame, Phys. Lett. A 136, 175 (1989) http://dx.doi.org/10.1016/0375-9601(89)90555-0[Crossref]
  • [19] L. Chetouani, L. Guechi, A. Lecheheb, T.F. Hammann, A. Messouber, Physica A 234, 529 (1996) http://dx.doi.org/10.1016/S0378-4371(96)00288-9[Crossref]
  • [20] B. Talukdar, A. Yunus, M.R. Amin, Phys. Lett. A 141, 326 (1989) http://dx.doi.org/10.1016/0375-9601(89)90058-3[Crossref]
  • [21] S.Z. Hu, R.K. Su, Acta Phys. Sin. 40, 1201 (1991) (in Chinese)
  • [22] J.Y. Guo, J. Meng, F.X. Xu, Chin. Phys. Lett. 20, 602 (2003) http://dx.doi.org/10.1088/0256-307X/20/5/303[Crossref]
  • [23] A.D. Alhaidari, J. Phys. A 37, 5805 (2004) http://dx.doi.org/10.1088/0305-4470/37/22/007[Crossref]
  • [24] C.Y. Chen, D.S. Sun, F.L. Lu, Phys. Lett. A 370, 219 (2007) http://dx.doi.org/10.1016/j.physleta.2007.05.079[Crossref]
  • [25] A. Soylu, O. Bayrak, I. Boztosun, J. Math. Phys. 48, 082302 (2007) http://dx.doi.org/10.1063/1.2768436[Crossref]
  • [26] S. Haouat, L. Chetouani, Phys. Scr. 77, 025005 (2008) http://dx.doi.org/10.1088/0031-8949/77/02/025005[Crossref]
  • [27] Z.X. Wang, D.R. Guo, An Introduction to Special Functions (Science Press, Beijing, 1979) (in Chinese)
  • [28] I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series, and Products, 6th Edition (Academic Press, New York, 2000)
  • [29] C.Y. Chen, D.S. Sun, F.L. Lu, Phys. Lett. A 330, 424 (2004) http://dx.doi.org/10.1016/j.physleta.2004.08.017[Crossref]
  • [30] C.Y. Chen, F.L. Lu, D.S. Sun, Acta Phys. Sin. 56, 6204 (2007) (in Chinese).
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0099-9
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