PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2014 | 12 | 4 | 292-296
Article title

Bound state of solution of Dirac-Coulomb problem with spatially dependent mass

Content
Title variants
Languages of publication
EN
Abstracts
EN
The bound state solution of Coulomb Potential in the Dirac equation is calculated for a position dependent mass function M(r) within the framework of the asymptotic iteration method (AIM). The eigenfunctions are derived in terms of hypergeometric function and function generator equations of AIM.
Publisher
Journal
Year
Volume
12
Issue
4
Pages
292-296
Physical description
Dates
published
1 - 4 - 2014
online
23 - 4 - 2014
References
  • [1] W. Greiner, Relativistic Quantum Mechanics Wave Equation, 3rd edition (Freankfert, Germen, 1987)
  • [2] A. D. Saavedra, F. Boronat, J. Polls, A. Fabrocini, Phys. Rev. B 50, 4248 (1994) http://dx.doi.org/10.1103/PhysRevB.50.4248[Crossref]
  • [3] T. Gora, F. Williams, Phys. Rev. 177, 1179 (1969) http://dx.doi.org/10.1103/PhysRev.177.1179[Crossref]
  • [4] A. D. Alhaidari, Phys. Rev. A 75, 042707 (2007) http://dx.doi.org/10.1103/PhysRevA.75.042707[Crossref]
  • [5] A. D. Alhaidari, H. Bahlouli, A. Al Hasan, M. S. Abdelmonem, Phys. Rev. A 75, 062711 (2007) http://dx.doi.org/10.1103/PhysRevA.75.062711[Crossref]
  • [6] A. D. Alhaidari, Phys. Lett. A 322, 72 (2004) http://dx.doi.org/10.1016/j.physleta.2004.01.006[Crossref]
  • [7] O. Panella, S. Biondini, A. Arda, J. Phys. A Math. Theor. 43, 325302 (2010) http://dx.doi.org/10.1088/1751-8113/43/32/325302[Crossref]
  • [8] A. De Souza Dutra, C. S. Jia, Phys. Lett. 352, 484 (2010) http://dx.doi.org/10.1016/j.physleta.2005.12.048[Crossref]
  • [9] I. O. Vakarchuk, J. Phy. A Math. Gen. 38, 4727 (2005) http://dx.doi.org/10.1088/0305-4470/38/21/016[Crossref]
  • [10] S. M. Ikhadair, R. Sever, Appl. Math. Comput. 216, 911 (2010) http://dx.doi.org/10.1016/j.amc.2010.01.104[Crossref]
  • [11] C. S. Jia, T. Chen, L. G. Cui, Phys. Lett. A 373, 1621 (2009) http://dx.doi.org/10.1016/j.physleta.2009.03.006[Crossref]
  • [12] C. S. Jia, A. de Souza Dutra, Ann. Phys. 323, 566 (2008) http://dx.doi.org/10.1016/j.aop.2007.04.007[Crossref]
  • [13] L. Dekar, L. Chetouani, T. F. Hammann, J. Math. Phys. 39, 2551 (1998) http://dx.doi.org/10.1063/1.532407[Crossref]
  • [14] X. L. Peng, J. Y. Liu, C. S. Jia, Phys. Lett. A 352, 478 (2006) http://dx.doi.org/10.1016/j.physleta.2005.12.039[Crossref]
  • [15] D. Agboola, math-ph/arxiv:1011, 2368v1
  • [16] J. Yu, S. H. Dong, G. H. Sun, Phys. Lett. A 322, 290 (2004) http://dx.doi.org/10.1016/j.physleta.2004.01.039[Crossref]
  • [17] J. Yu, S. H. Dong, Phys. Lett. A 325, 194 (2004) http://dx.doi.org/10.1016/j.physleta.2004.03.056[Crossref]
  • [18] S. H. Dong, J. J. Pena, C. P. Garcia, J. G. Ravelo, Mod. Phys. Lett. A 22, 1039 (2007) http://dx.doi.org/10.1142/S0217732307021470[Crossref]
  • [19] J. Wu., Y. Alhassid, J. Math. Phys. 31, 557 (1990) http://dx.doi.org/10.1063/1.528889[Crossref]
  • [20] R. A. Swainson, G. W. F. Drake, J. Phys. A: Math. Gen. 24, 79 (1991) http://dx.doi.org/10.1088/0305-4470/24/1/019[Crossref]
  • [21] G. Chen, Phys. Lett. A 326, 55 (2004) http://dx.doi.org/10.1016/j.physleta.2004.04.029[Crossref]
  • [22] L. Infeld, T. E. Hull, Rev. Mod. Phys. 23, 21 (1951) http://dx.doi.org/10.1103/RevModPhys.23.21[Crossref]
  • [23] R. P. Feynman, A. R. Hibbs, Quantum Mechanics and Path Integrals, (McGraw-Hill, New York, 1965)
  • [24] C. Grosche, J. Phys. A. Math. Gen. 28, 5889 (1995) http://dx.doi.org/10.1088/0305-4470/28/20/018[Crossref]
  • [25] E. Witten, Nucl. Phys. B 188, 513 (1981) http://dx.doi.org/10.1016/0550-3213(81)90006-7[Crossref]
  • [26] A. Comtet, A. Bandrank, D. K. Campbell, Phys. Lett. B 150, 159 (1985) http://dx.doi.org/10.1016/0370-2693(85)90160-1[Crossref]
  • [27] S. H. Dong, X. Y. Gu, Z. Q. Ma, S. Dong, Int. J. Mod. Phys. E. 11, 483 (2002) http://dx.doi.org/10.1142/S0218301302001046[Crossref]
  • [28] S. H. Dong, G. H. Sun, D. Popov, J. Math. Phys. 44, 4467 (2003) http://dx.doi.org/10.1063/1.1604185[Crossref]
  • [29] S. H. Dong, M. L. Cassou, Phys. Lett. A 330, 168 (2004) http://dx.doi.org/10.1016/j.physleta.2004.08.008[Crossref]
  • [30] G. de A. Marques, V. B. Bezerra, S. H. Dong, Mod. Phys. Lett. A 28, 1350137 (2013) http://dx.doi.org/10.1142/S021773231350137X[Crossref]
  • [31] H. Ciftci, R. L. Hall, N. Saad, J. Phys. A: Math. Gen. 36, 11807 (2003) http://dx.doi.org/10.1088/0305-4470/36/47/008[Crossref]
  • [32] H. Ciftci, R. L. Hall, N. Saad, J. Phys. A: Math. Gen. 38, 1147 (2005) http://dx.doi.org/10.1088/0305-4470/38/5/015[Crossref]
  • [33] F. M. Fernandez, J. Phys. A. Math. Gen. 37, 617332 (2004) http://dx.doi.org/10.1088/0305-4470/37/23/014[Crossref]
  • [34] T. Barakat, K. Abodayeh, A. Mukheimer, J. Phys. A. Math. Gen. 38, 1299 (2005) http://dx.doi.org/10.1088/0305-4470/38/6/009[Crossref]
  • [35] T. Barakat, Phys. Lett. A 334, 411 (2005) http://dx.doi.org/10.1016/j.physleta.2005.06.081[Crossref]
  • [36] E. Olgar, R. Koç, H. Tütüncüler, Chin. Phys. Lett. 23, 539 (2006) http://dx.doi.org/10.1088/0256-307X/23/3/004[Crossref]
  • [37] E. Olgar, Chin. Phys. Lett. 26, 020302 (2009) http://dx.doi.org/10.1088/0256-307X/26/2/020302[Crossref]
  • [38] E. Olgar, H. Mutaf, Commun. Theor. Phys. 53, 1043 (2010) http://dx.doi.org/10.1088/0253-6102/53/6/09[Crossref]
  • [39] E. Olgar, Chin. Phys. Lett. 25, 1939 (2008) http://dx.doi.org/10.1088/0256-307X/25/6/005[Crossref]
  • [40] E. Olgar, R. Koç, H. Tütüncüler, Phys. Scr. 78, 015011 (2008) http://dx.doi.org/10.1088/0031-8949/78/01/015011[Crossref]
  • [41] R. E. Moss, Am. J. Phys. 55, 397 (1987) http://dx.doi.org/10.1119/1.15144[Crossref]
  • [42] H. Galic, Am. J. Phys. 56, 312 (1988) http://dx.doi.org/10.1119/1.15630[Crossref]
  • [43] S. H. Dong, Z. Q. Ma., Phys. Lett. 312, 78 (2003) http://dx.doi.org/10.1016/S0375-9601(03)00606-6[Crossref]
  • [44] D. Agboola, Int. J. Quantum Chem. 112, 1029 (2012) http://dx.doi.org/10.1002/qua.23090[Crossref]
  • [45] D. Agboola, Few Body Syst. 52, 31 (2012) http://dx.doi.org/10.1007/s00601-011-0235-8[Crossref]
  • [46] D. Agboola, Pramana. Phys. 76, 875 (2011) http://dx.doi.org/10.1007/s12043-011-0104-5[Crossref]
  • [47] G. Esposito, P. Santorelli, J. Phys. A. Gen. 32, 5643 (1999) http://dx.doi.org/10.1088/0305-4470/32/30/310[Crossref]
  • [48] M. Hamzavi, A. A. Rajabi, H. Hassanabadi, Phys. Lett. A 374, 4303 (2010) http://dx.doi.org/10.1016/j.physleta.2010.08.065[Crossref]
  • [49] S. M. Ikhdair, R. Sever, Appl. Math. Phys. 316, 545 (2010)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0448-9
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.