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Regular PapersNo Access

SUPERSYMMETRIC ANALYSIS FOR THE DIRAC EQUATION WITH SPIN-SYMMETRIC AND PSEUDO-SPIN-SYMMETRIC INTERACTIONS

RICHARD L. HALL

Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, H3G 1M8, Canada

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and

ÖZLEM YEŞILTAŞ

Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, H3G 1M8, Canada

Permanent address: Department of Physics, Faculty of Arts, Sciences, Gazi University, 06500 Ankara, Turkey.

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https://doi.org/10.1142/S0218301310016417Cited by:9 (Source: Crossref)

Abstract

A supersymmetric analysis is presented for the d-dimensional Dirac equation with central potentials under spin-symmetric (S(r) = V(r)) and pseudo-spin-symmetric (S(r) = - V(r)) regimes. We construct the explicit shift operators that are required to factorize the Dirac Hamiltonian with the Kratzer potential. Exact solutions are provided for both the Coulomb and Kratzer potentials.

Keywords:

PACS: 03.65.Pm, 03.65.Ge

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References

S. Haouat and L. Chetouani, Phys. Scr. 78, 065005 (2008), DOI: 10.1088/0031-8949/78/06/065005. Crossref, Web of Science, Google Scholar
L. H. Zhanget al., Phys. Scr. 80, 035003 (2009), DOI: 10.1088/0031-8949/80/03/035003. Crossref, Web of Science, Google Scholar
G. F. Wei and S. H. Dong, Phys. Lett. A 373, 2428 (2009), DOI: 10.1016/j.physleta.2009.05.011. Crossref, Web of Science, ADS, Google Scholar
H. Çiftçi, R. L. Hall and N. Saad, Phys. Rev. A 72, 022101 (2005). Crossref, Web of Science, Google Scholar
R. Chen, Int. J. Theor. Phys. 47, 881 (2008), DOI: 10.1007/s10773-007-9514-z. Crossref, Web of Science, Google Scholar
C. Berkdemir and R. Sever, J. Phys. A: Math. Theor. 41, 045302 (2008), DOI: 10.1088/1751-8113/41/4/045302. Crossref, Web of Science, Google Scholar
X.-Y. Gu, Z.-Q. Ma and S.-H. Dong, Int. J. Mod. Phys. E 11, 335 (2002), DOI: 10.1142/S0218301302000879. Link, ADS, Google Scholar
X.-Y. Gu, Z.-Q. Ma and S.-H. Dong, Phys. Rev. A 67, 062715 (2003), DOI: 10.1103/PhysRevA.67.062715. Crossref, Web of Science, Google Scholar
R. Lisboaet al., Phys. Rev. C 69, 024319 (2004), DOI: 10.1103/PhysRevC.69.024319. Crossref, Web of Science, Google Scholar
K. T. Hecht and A. Adler, Nucl. Phys. A 137, 129 (1969), DOI: 10.1016/0375-9474(69)90077-3. Crossref, Web of Science, ADS, Google Scholar
A. Arima, M. Harvey and K. Shimizu, Phys. Lett. B 30, 517 (1969). Crossref, Web of Science, ADS, Google Scholar
J. N. Ginocchio, Phys. Rev. C 69, 034318 (2004), DOI: 10.1103/PhysRevC.69.034318. Crossref, Web of Science, Google Scholar
J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997), DOI: 10.1103/PhysRevLett.78.436. Crossref, Web of Science, ADS, Google Scholar
J. N. Ginocchio, Phys. Rep. 414, 165 (2005), DOI: 10.1016/j.physrep.2005.04.003. Crossref, Web of Science, ADS, Google Scholar
F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 268 (1995), DOI: 10.1016/0370-1573(94)00080-M. Web of Science, Google Scholar
C. S. Jia, T. Chen and L. G. Cui, Phys. Lett. A 373, 1621 (2009), DOI: 10.1016/j.physleta.2009.03.006. Crossref, Web of Science, ADS, Google Scholar
B. Roy, Mod. Phys. Lett. B 20, 1033 (2006), DOI: 10.1142/S0217984906011256. Link, Web of Science, Google Scholar
A. D. Alhaidari, H. Bahlouli and A. Al-Hasan, Phys. Lett. A 349, 87 (2006), DOI: 10.1016/j.physleta.2005.09.008. Crossref, Web of Science, ADS, Google Scholar
Y. Jiang, J. Phys. A 38, 1157 (2005), DOI: 10.1088/0305-4470/38/5/016. Crossref, ADS, Google Scholar
A. Messiah, Quantum Mechanics (North Holland, Amsterdam, 1962) p. 928. Google Scholar
W. Greiner, Relativistic Quantum Mechanics (Springer, Heidelberg, 1990) p. 178. Crossref, Google Scholar
E. Witten, Nucl. Phys. B 188, 513 (1981), DOI: 10.1016/0550-3213(81)90006-7. Crossref, Web of Science, ADS, Google Scholar
A. Kratzer, Z. Phys. 3, 289 (1920). Crossref, ADS, Google Scholar
C. V. Sukumar, J. Phys. A: Math. Gen. 18, L697 (1985), DOI: 10.1088/0305-4470/18/12/002. Crossref, Google Scholar
R. L. Hall and Ö. Yeşiltaş, J. Phys. A: Math. Theor. 43, 195303 (2010), DOI: 10.1088/1751-8113/43/19/195303. Crossref, Web of Science, Google Scholar
O. L. De Lange and R. E. Raab , Operator Methods in Quantum Mechanics ( Oxford Univ. Press , NY , 1991 ) . Crossref, Google Scholar

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Vol. 19, No. 10

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History

Accepted 23 June 2010

Keywords