Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential

• Authors: H. Hassanabadi , A. Ikot , S. Zarrinkamar
• Languages of publication: EN

Abstracts

EN

Analytical solution of the Klein-Gordon equation under the equal scalar and vector Pöschl-Teller double-ring-shaped Coulomb potentials is obtained. We have used the Nikiforov-Uvarov method in our calculations. The radial wave function in terms of the Laguerre polynomials is presented and the angular wave functions are expressed in terms of the Jacobi polynomials. We have also considered some special cases of the Pöschl-Teller double-ring-shaped Coulomb potential and represented the energy eigenvalues and the corresponding wave functions.

Keywords

EN

03.65.Fd; 03.65.Pm; 03.65.Ca; 03.65.Ge

Discipline

• 03.65.Ca: Formalism
• 03.65.Pm: Relativistic wave equations
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 3
• Pages: 647-652

Dates

published

2014-08

received

2013-10-13

(unknown)

2014-05-11

Contributors

author

H. Hassanabadi

• Department of Basic Sciences, Shahrood University, Shahrood, Iran

author

A. Ikot

• Department of Physics, University of Port Harcourt, Choba, PMB 5323, Port Harcourt, Nigeria

author

S. Zarrinkamar

• Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

References

• [1] G. Pöschl, E. Teller, Z. Phys. 83, 143 (1933), doi: 10.1007/BF01331132
• [2] M. Simsek, Z. Yalcin, J. Math. Chem. 16, 211 (1994), doi: 10.1007/BF01169207
• [3] M. Aktas, R. Sever, J. Mol. Struct. Theochem. 710, 223 (2004), doi: 10.1016/j.theochem.2004.09.011
• [4] J. Zuniga, M. Alacid, A. Requena, A. Bastida, Int. J. Quant. Chem. 57, 43 (1995), doi: 10.1002/(SICI)1097-461X(1996)57:1%3C43::AID-QUA5%3E3.0.CO;2-Z
• [5] J.M. Arias, J. Gomez Camacho, R. Lemus, J. Phys. A: Math. Gen. 37, 877 (2004), doi: 10.1088/0305-4470/37/3/023
• [6] J.I. Daz, J. Negro, L.M. Nieto, O. Rosas, J. Phys. A 32, 8447 (1999), doi: 10.1088/0305-4470/32/48/308
• [7] M. Boca, M. Stroe, Rom. Rep. Phys. 55, 184 (1998)
• [8] M. Znojil, Phys. Lett. A 266, 4 (2000), doi: 10.1016/S0375-9601(00)00077-3
• [9] R. da Rocha, E. Capelas de Oliveira, Rev. Mex. Fis. 51, 1 (2005)
• [10] E. Capelas de Oliveira, R. da Rocha, Electron. J. Theor. Phys. 18, 21 (2008)
• [11] R. Koc, M. Koca, arXiv:math-ph 0505004
• [12] B. Bagchi, A. Ganguly, J. Phys. A, Math. Gen. 36, 161 (2003), doi: 10.1088/0305-4470/36/11/101
• [13] L.D. Landau, E.M. Lifshitz, Quantum Mechanics, 3rd ed., Pergamon, London 1965
• [14] C.S. Jia, P. Guo, Y.F. Diao, L.Z. Yi, X.J. Xie, Eur. Phys. J. A 34, 41 (2007), doi: 10.1140/epja/i2007-10486-2
• [15] Y. Xu, H. Su, C.S. Jia, J. Phys. A, Math. Theor. 41, 255302 (2008), doi: 10.1088/1751-8113/41/25/255302
• [16] C.S. Jia, T. Chen, L.G. Cui, Phys. Lett. A 373, 1621 (2009), doi: 10.1016/j.physleta.2009.03.006
• [17] Y. Xu, S. He, C.S. Jia, Phys. Scr. 81, 045001 (2010), doi: 10.1088/0031-8949/81/04/045001
• [18] Y. Hasan, M. Tomak, Phys. Rev. B 72, 115340 (2005), doi: 10.1103/PhysRevB.72.115340
• [19] A. Rodríguez, J. Cerveró, Phys. Rev. B 74, 104201 (2006), doi: 10.1103/PhysRevB.74.104201
• [20] U. Roy, S. Ghosh, P.K. Panigrahi, D. Vitali, Phys. Rev. A 80, 052115 (2009), doi: 10.1103/PhysRevA.80.052115
• [21] H. Yildirim, M. Tomak, J. Appl. Phys. 99, 093103 (2006), doi: 10.1063/1.2194124
• [22] W. Xie, Commun. Theor. Phys. 46, 1101 (2006), doi: 10.1088/0253-6102/46/6/026
• [23] H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, A.A. Rajabi, Phys. Rev. C 84, 064003 (2011), doi: 10.1103/PhysRevC.84.064003
• [24] S.H. Dong, Z.Q. Ma, J. Phys. A 31, 9855 (1998), doi: 10.1088/0305-4470/31/49/009
• [25] B.H. Yazarloo, H. Hassanabadi, S. Zarrinkamar, Eur. Phys. J. Plus 127, 51 (2012), doi: 10.1140/epjp/i2012-12051-9
• [26] G.F. Wei, S.H. Dong, Europ. Phys. Lett. 87, 40004 (2009), doi: 10.1209/0295-5075/87/40004
• [27] S. Hassanabadi, A.A. Rajabi, B.H. Yazarloo, S. Zarrinkamar, H. Hassanabadi, Advances in High Energy Physics 2012, 804652 (2012), doi: 10.1155/2012/804652
• [28] S.H. Dong, Int J. Theor. Phys. 39, 1119 (2000), doi: 10.1023/A:1003614810934
• [29] L.L. Lu, B.H. Yazarloo, S. Zarrinkamar, G. Liu, H. Hassanabadi, Few-Body Syst. 53, 573 (2012), doi: 10.1007/s00601-012-0456-5
• [30] G.F. Wei, S.H. Dong, Europ. Phys. Lett. 87, 40004 (2009), doi: 10.1209/0295-5075/87/40004
• [31] A.D. Antia, A.N. Ikot, I.O. Akpan, O.A. Awoga, Indian J. Phys. 87, 155 (2013), doi: 10.1007/s12648-012-0210-3
• [32] H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, H. Rahimov, Commun. Theor. Phys. 57, 339 (2012), doi: 10.1088/0253-6102/57/3/02
• [33] H. Hassanabadi, B.H. Yazarloo, L.L. Lu, Chin. Phys. Lett. 29, 020303 (2012), doi: 10.1088/0256-307X/29/2/020303
• [34] A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics, Birkhauser, Bassel 1988
• [35] W.C. Qiang, S.H. Dong, Phys. Lett. A. 368, 13 (2007), doi: 10.1016/j.physleta.2007.03.057
• [36] C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009), doi: 10.1007/s10773-008-9806-y
• [37] S.H. Dong, M. Lozada-Cassou, Phys. Scr. 74, 285 (2006), doi: 10.1088/0031-8949/74/2/024
• [38] G. Wei, S.H. Dong, Phys. Lett. A 373, 2428 (2009), doi: 10.1016/j.physleta.2009.05.011
• [39] S.H. Dong, Wave Equations in Higher Dimensions, Springer, Berlin 2011
• [40] F.L. Lu, C.Y. Chen, Chin. Phys. B 19, 100309 (2010), doi: 10.1088/1674-1056/19/10/100309
• [41] B.W. Huang, High Energy Phys. Nucl. Phys. 27, 770 (2003)
• [42] F. Yasuk, A. Durmus, Phys. Scr. 77, 015005 (2008), doi: 10.1088/0031-8949/77/01/015005

Identifiers

DOI

10.12693/APhysPolA.126.647