PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2008 | 6 | 1 | 141-152
Article title

Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

Content
Title variants
Languages of publication
EN
Abstracts
EN
The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.
Contributors
  • Department of Physics, Near East University, Nicosia, TRNC, Mersin 10, Turkey, sikhdair@neu.edu.tr
author
  • Department of Physics, Middle East Technical University, 06531, Ankara, Turkey, sever@metu.edu.tr
References
  • [1] T.Y. Wu, W.Y. Pauchy Hwang (World Scientific, Singapore, 1991)
  • [2] W. Greiner, Wave Equations, 3rd editon (Springer, Berlin, 2000)
  • [3] A.D. Alhaidari, Phys. Rev. Lett. 87, 210405 (2001) [PubMed]
  • [4] A.D. Alhaidari, Phys. Rev. Lett. Erratum 88, 189901 (2002)
  • [5] G. Chen, Mod. Phys. Lett. A 19, 2009 (2004) http://dx.doi.org/10.1142/S0217732304014677[Crossref]
  • [6] 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]
  • [7] A.D. Alhaidar, J. Phys. A-Math. Gen. 34, 9827 (2001) http://dx.doi.org/10.1088/0305-4470/34/46/306[Crossref]
  • [8] A.D. Alhaidari, J. Phys. A-Math. Gen. 35, 6207 (2002) http://dx.doi.org/10.1088/0305-4470/35/29/501[Crossref]
  • [9] M. Şimşek, H. Eğrifes, J. Phys. A-Math. Gen. 37, 4379 (2004) http://dx.doi.org/10.1088/0305-4470/37/15/007[Crossref]
  • [10] J.Y. Guo, X.Z. Fang, F.X. Xu, Phys. Rev. A 66, 062105 (2002)
  • [11] C. Berkdemir, A. Berkdemir, R. Sever, J. Phys. A-Math. Gen. 39, 13455 (2006)
  • [12] G. Chen, Acta Phys. Sinica 50, 1651 (2001)
  • [13] Ö. Yeşiltaş, Phys. Scr. 75, 41 (2007) http://dx.doi.org/10.1088/0031-8949/75/1/006[Crossref]
  • [14] G. Chen, Z.M. Lou, Acta Phys. Sinica 52, 1071 (2003)
  • [15] S.M. Ikhdair, R. Sever, J. Mol. Struct. 806, 155 (2007)
  • [16] S.M. Ikhdair, R. Sever, J. Mol. Struct. DOI:10.1016/j.theochem.2007.12.044 [Crossref]
  • [17] G. Chen, Z.D. Chen, Z.M. Loui, Chin. Phys. 13, 279 (2004) http://dx.doi.org/10.1088/1009-1963/13/3/002[Crossref]
  • [18] W.C. Qiang, Chin. Phys. 12, 136 (2003) http://dx.doi.org/10.1088/1009-1963/12/2/302[Crossref]
  • [19] W.C. Qiang, Chin. Phys. 13, 571 (2004) http://dx.doi.org/10.1088/1009-1963/13/5/001[Crossref]
  • [20] G. Chen, Phys. Lett. A 328, 116 (2004) http://dx.doi.org/10.1016/j.physleta.2004.06.034[Crossref]
  • [21] Y.F. Diao, L.Z. Yi, C.S. Jia, Phys. Lett. A 332, 157 (2004) http://dx.doi.org/10.1016/j.physleta.2004.09.051[Crossref]
  • [22] L.Z. Yi, Y.F. Diao, J.Y. Liu, C.S. Jia, Phys. Lett. A 333, 212 (2004) http://dx.doi.org/10.1016/j.physleta.2004.10.054[Crossref]
  • [23] X.Q. Zhao, C.S. Jia, Q.B. Yang, Phys. Lett. A 337, 189 (2005)
  • [24] A.D. Alhaidari, H. Bahlouli, A. Al-Hasan, Phys. Lett. A 349, 87 (2006) http://dx.doi.org/10.1016/j.physleta.2005.09.008[Crossref]
  • [25] G. Chen, Phys. Lett. A 339, 300 (2005) http://dx.doi.org/10.1016/j.physleta.2005.03.040[Crossref]
  • [26] A. de Souza Dutra, G. Chen, Phys. Lett. A 349, 297 (2006) http://dx.doi.org/10.1016/j.physleta.2005.09.056[Crossref]
  • [27] F. Dominguez-Adame, Phys. Lett. A 136, 175 (1989) http://dx.doi.org/10.1016/0375-9601(89)90555-0[Crossref]
  • [28] A.S. de Castro, Phys. Lett. A 338, 81 (2005) http://dx.doi.org/10.1016/j.physleta.2005.02.027[Crossref]
  • [29] G. Chen, Acta Phys. Sinica 53, 684 (2004)
  • [30] G. Chen, D.F. Zhao, Acta Phys. Sinica, 52, 2954 (2003)
  • [31] M. Kibler, T. Negadi, Int. J. Quantum Chem. 26, 405 (1984) http://dx.doi.org/10.1002/qua.560260308[Crossref]
  • [32] I. Sokmen, Phys. Lett. A 115, 249 (1986) http://dx.doi.org/10.1016/0375-9601(86)90546-3[Crossref]
  • [33] M.V. Carpido-Bernido, C.C. Bernido, Phys. Lett. A 137, 1 (1989) http://dx.doi.org/10.1016/0375-9601(89)90957-2[Crossref]
  • [34] M.V. Carpido-Bernido, C.C. Bernido, Phys. Lett. A 134, 395 (1989) http://dx.doi.org/10.1016/0375-9601(89)90357-5[Crossref]
  • [35] O.F. Gal’bert, Y.I. Granovskii, A.S. Zhedabov, Phys. Lett. A 153, 177 (1991) http://dx.doi.org/10.1016/0375-9601(91)90789-B[Crossref]
  • [36] M. Kibler, P. Winternitz, J. Phys. A 20, 4097 (1987) http://dx.doi.org/10.1088/0305-4470/20/13/018[Crossref]
  • [37] H. Hartmann, D. Schuch, Int. J. Quantum Chem. 18, 125 (1980) http://dx.doi.org/10.1002/qua.560180119[Crossref]
  • [38] G.E. Draganescu, C. Campigotto, M. Kibler, Phys. Lett. A 170, 339 (1992) http://dx.doi.org/10.1016/0375-9601(92)90883-N[Crossref]
  • [39] M. Kibler, C. Campigotto, Phys. Lett. A 181, 1 (1993) http://dx.doi.org/10.1016/0375-9601(93)91114-K[Crossref]
  • [40] V.M. Villalba, Phys. Lett. A 193, 218 (1994) http://dx.doi.org/10.1016/0375-9601(94)90586-X[Crossref]
  • [41] Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959) http://dx.doi.org/10.1103/PhysRev.115.485[Crossref]
  • [42] P.A.M. Dirac, Proc. R. Soc. London A 133, 60 (1931) http://dx.doi.org/10.1098/rspa.1931.0130[Crossref]
  • [43] B.P. Mandal, Int. J. Mod. Phys. A 15, 1225 (2000)
  • [44] R. Dutt, A. Gangopadhyaya, U.P. Sukhatme, Am. J. Phys. 65, 400 (1997) http://dx.doi.org/10.1119/1.18551[Crossref]
  • [45] B. Gönül, İ. Zorba, Phys. Lett. A 269, 83 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00252-8[Crossref]
  • [46] A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basel, 1988)
  • [47] S.M. Ikhdair, R. Sever, Int. J. Theor. Phys. 46, 2384 (2007) http://dx.doi.org/10.1007/s10773-007-9356-8[Crossref]
  • [48] H.S. Valk, Am. J. Phys. 54, 921 (1986) http://dx.doi.org/10.1119/1.14792[Crossref]
  • [49] Q.W. Chao, Chin. Phys. 13, 575 (2004) http://dx.doi.org/10.1088/1009-1963/13/5/002[Crossref]
  • [50] C. Berkdemir, A. Berkdemir, J.G. Han, Chem. Phys. Lett. 417, 326 (2006) http://dx.doi.org/10.1016/j.cplett.2005.10.039[Crossref]
  • [51] A. Bastida et al., J. Chem. Phys. 93, 3408 (1990) http://dx.doi.org/10.1063/1.458820[Crossref]
  • [52] F. Yasuk, A. Durmuş, I. Boztosun, J. Math. Phys. 47, 082302 (2006)
  • [53] C. Berkdemir, Am. J. Phys. 75, 81 (2007) http://dx.doi.org/10.1119/1.2360992[Crossref]
  • [54] C.Y. Chen, S.H. Dong, Phys. Lett. A 335, 374 (2005) http://dx.doi.org/10.1016/j.physleta.2004.12.062[Crossref]
  • [55] Y.F. Cheng, T.Q. Dai, Phys. Scr. 75, 274 (2007) http://dx.doi.org/10.1088/0031-8949/75/3/008[Crossref]
  • [56] S.M. Ikhdair, R. Sever, arXiv:quant-ph/0703008, Int. J. Mod. Phys. C (in press)
  • [57] S.M. Ikhdair, R. Sever, arXiv:quant-ph/0703042, Chinese J. Phys. (in press)
  • [58] S.M. Ikhdair, R. Sever, arXiv:quant-ph/070313, Cent. Eur. J. Phys. (in press)
  • [59] S.M. Ikhdair, R. Sever, Z. Phys. C 56, 155 (1992) http://dx.doi.org/10.1007/BF01589718[Crossref]
  • [60] S.M. Ikhdair, R. Sever, Z. Phys. C 58, 153 (1993) http://dx.doi.org/10.1007/BF01554088[Crossref]
  • [61] S.M. Ikhdair, R. Sever, Z. Phys. D 28, 1 (1993) http://dx.doi.org/10.1007/BF01437449[Crossref]
  • [62] S.M. Ikhdair, R. Sever, Hadronic J. 15, 389 (1992)
  • [63] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 18, 4215 (2003) http://dx.doi.org/10.1142/S0217751X03015088[Crossref]
  • [64] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 19, 1771 (2004) http://dx.doi.org/10.1142/S0217751X0401780X[Crossref]
  • [65] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 20, 4035 (2005) http://dx.doi.org/10.1142/S0217751X05022275[Crossref]
  • [66] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 20, 6509 (2005) http://dx.doi.org/10.1142/S0217751X05021294[Crossref]
  • [67] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 21, 2191 (2006) http://dx.doi.org/10.1142/S0217751X06031636[Crossref]
  • [68] S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 21, 3989 (2006) http://dx.doi.org/10.1142/S0217751X06030953[Crossref]
  • [69] S.M. Ikhdair, O. Mustafa, R. Sever, Tr. J. Phys. 16, 510 (1992
  • [70] S. M. Ikhdair, O. Mustafa, R. Sever, Hadronic J. 16, 57 (1993)
  • [71] L.Y. Wang, X.Y. Gu, Z.Q. Ma, S.H. Dong, Found. Phys. Lett. 15, 569 (2002) http://dx.doi.org/10.1023/A:1023937704158[Crossref]
  • [72] S.H. Dong, App. Math. Lett. 16, 199 (2003) http://dx.doi.org/10.1016/S0893-9659(03)80032-0[Crossref]
  • [73] J.D. Louck, W.H. Shaffer, J. Mol. Spec. 4, 285 (1960) http://dx.doi.org/10.1016/0022-2852(60)90090-4[Crossref]
  • [74] J.D. Louck, J. Mol. Spec. 4, 298 (1960) http://dx.doi.org/10.1016/0022-2852(60)90091-6[Crossref]
  • [75] J.D. Louck, J. Mol. Spec. 4, 334 (1960) http://dx.doi.org/10.1016/0022-2852(60)90092-8[Crossref]
  • [76] J.D. Louck, Theory of Angular Momentum in D-Dimensional Space (Los Alamos Scientific Laboratory monograph LA-2451, LASL, Los Alamos, 1960)
  • [77] J.D. Louck, H.W. Galbraith, Rev. Mod. Phys. 48, 69 (1976) http://dx.doi.org/10.1103/RevModPhys.48.69[Crossref]
  • [78] A. Chatterjee, Phys. Rep. 186, 249 (1990) http://dx.doi.org/10.1016/0370-1573(90)90048-7[Crossref]
  • [79] A. Erdélyi, Higher Transcendental Functions, 2 (McGraw Hill, New York, 1953)
  • [80] S.M. Ikhdair, R. Sever, Int. J. Theor. Phys. 46, 1643 (2007) http://dx.doi.org/10.1007/s10773-006-9317-7[Crossref]
  • [81] S.M. Ikhdair, R. Sever, J. Math. Chem. 42, 461 (2007) http://dx.doi.org/10.1007/s10910-006-9115-8[Crossref]
  • [82] S.M. Ikhdair, R. Sever, Ann. Phys. (Leipzig) 16, 218 (2007) http://dx.doi.org/10.1002/andp.200610232[Crossref]
  • [83] S.M. Ikhdair, R. Sever, arXiv:quant-ph/0605045, Int. J. Mod. Phys. E (in press)
  • [84] S.M. Ikhdair, R. Sever, arXiv:0801.4857, submitted to Int. J. Mod. Phys. C
  • [85] G. Sezgo, Orthogonal Polynoials (American Mathematical Society, New York, 1939)
  • [86] N.N. Lebedev, Special Functions and Their Applications (Prentice-Hall, Englewood Cliffs, New Jersey, 1965)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0018-0
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.