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The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds

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An Erratum to this article was published on 22 November 2019

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Abstract.

In this article, we investigate the relativistic quantum dynamics of spin- \( \frac{1}{2}\) particles in (1 + 2 -dimensional Gürses space-time backgrounds, and analyze the effects on the eigenvalues. We solve the Dirac equation using the Nikiforov-Uvarov method in the considered framework, and evaluate the energy eigenvalues and corresponding wave function.

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Change history

  • 22 November 2019

    After publication of the original paper, the author found errors in evaluating the energy eigenvalues of a relativistic system, which is presented here in its corrected version.

References

  1. S.K. Moayedi, F. Darabi, Phys. Lett. A 322, 173 (2004)

    ADS  MathSciNet  Google Scholar 

  2. M. Khorrami, M. Alimohammadi, A. Shariati, Ann. Phys. (N.Y.) 304, 91 (2003)

    ADS  Google Scholar 

  3. V.M. Villalba, Mod. Phys. Lett. A 8, 2351 (1993)

    ADS  MathSciNet  Google Scholar 

  4. Y. Sucu, N. Unal, J. Math. Phys. 48, 052503 (2007)

    ADS  MathSciNet  Google Scholar 

  5. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basel, 1988)

    MATH  Google Scholar 

  6. C. Berkdemir, A. Berkdemir, R. Sever, J. Phys. A 39, 13455 (2006)

    ADS  MathSciNet  Google Scholar 

  7. Y.F. Cheng, T.Q. Dai, Chin. J. Phys. 45, 480 (2007)

    Google Scholar 

  8. H. Egrifes, R. Sever, Phys. Lett. A 344, 117 (2005)

    ADS  MathSciNet  Google Scholar 

  9. H. Hassanabadi, E. Maghsoodi, A.N. Ikot, S. Zarrinkamar, Appl. Math. Comput. 219, 9388 (2013)

    MathSciNet  Google Scholar 

  10. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995)

    ADS  MathSciNet  Google Scholar 

  11. X. Zou, L.-Z. Yi, C.-S. Jia, Phys. Lett. A 346, 54 (2005)

    ADS  MathSciNet  Google Scholar 

  12. X.-Q. Zhao, C.-S. Jia, Q.-B. Yang, Phys. Lett. A 337, 189 (2005)

    ADS  Google Scholar 

  13. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A 38, 1147 (2005)

    ADS  MathSciNet  Google Scholar 

  14. R.K. Su, Z.Q. Ma, J. Phys. A 19, 1739 (1986)

    ADS  MathSciNet  Google Scholar 

  15. C.S. Jia, P. Gao, X.L. Peng, J. Phys. A 39, 7737 (2006)

    ADS  MathSciNet  Google Scholar 

  16. A. Arda, R. Sever, Commun. Theor. Phys. 64, 269 (2015)

    ADS  Google Scholar 

  17. B.D. Figueiredo, I.D. Soares, J. Tiomno, Class. Quantum Grav. 9, 1593 (1992)

    ADS  Google Scholar 

  18. N. Drukker, B. Fiol, J. Simon, JCAP 10, 012 (2004)

    ADS  Google Scholar 

  19. N. Drukker, B. Fiol, J. Simon, Phys. Rev. Lett. 91, 231601 (2003)

    ADS  MathSciNet  Google Scholar 

  20. S. Das, J. Gegenberg, Gen. Relat. Gravit. 40, 2115 (2008)

    ADS  Google Scholar 

  21. L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-relativistic Theory (Pergamon, 2013)

  22. L.C.N. Santos, C.C. Barros Jr., Eur. Phys. J. C 78, 13 (2018)

    ADS  Google Scholar 

  23. L.C.N. Santos, C.C. Barros Jr., Eur. Phys. J. C 77, 186 (2017)

    ADS  Google Scholar 

  24. F. Ahmed, Eur. Phys. J. C 78, 598 (2018)

    ADS  Google Scholar 

  25. F. Ahmed, Eur. Phys. J. C 79, 104 (2019)

    ADS  Google Scholar 

  26. F. Ahmed, Eur. Phys. J. C 79, 534 (2019)

    Google Scholar 

  27. J. Carvalho, A.M. de M. Carvalho, C. Furtado, Eur. Phys. J. C 74, 2935 (2014)

    ADS  Google Scholar 

  28. J. Carvalho, A.M. de M. Carvalho, E. Cavalcante, C. Furtado, Eur. Phys. J. C 76, 365 (2016)

    ADS  Google Scholar 

  29. G.Q. Garcia, J.R. de S. Oliveira, K. Bakke, C. Furtado, Eur. Phys. J. Plus 132, 123 (2017)

    Google Scholar 

  30. G.Q. Garcia, J.R. de S. Oliveira, C. Furtado, Int. J. Mod. Phys. D 27, 1850027 (2018)

    ADS  Google Scholar 

  31. S.G. Fernandes, G. de A. Marques, V.B. Bezerra, Class. Quantum Grav. 23, 7063 (2006)

    ADS  Google Scholar 

  32. A. Havare, T. Yetkin, Class. Quantum Grav. 19, 1 (2002)

    Google Scholar 

  33. L.C.N. Santos, C.C. Barros Jr., Eur. Phys. J. C 76, 560 (2016)

    ADS  Google Scholar 

  34. M. Hosseinpour, H. Hassanabadi, M. de Montigny, Eur. Phys. J. C 79, 311 (2019)

    ADS  Google Scholar 

  35. Marc de Montigny, S. Zare, H. Hassanabadi, Gen. Relat. Gravit. 50, 47 (2018)

    ADS  Google Scholar 

  36. P. Sedaghatnia, H. Hassanabadi, F. Ahmed, Eur. Phys. J. C 79, 541 (2019)

    Google Scholar 

  37. H. Fakhri, N. Abbasi, J. Math. Phys. 42, 2416 (2001)

    ADS  MathSciNet  Google Scholar 

  38. A.S. de Castro, Phys. Lett. A 305, 100 (2002)

    ADS  MathSciNet  Google Scholar 

  39. J.R. Hiller, Am. J. Phys. 70, 522 (2002)

    ADS  Google Scholar 

  40. M.H. Pacheco, R.V. Maluf, C.A.S. Almedia, R.R. Landim, EPL 108, 10005 (2014)

    Article  ADS  Google Scholar 

  41. F. Ahmed, Ann. Phys. (N.Y.) 401, 193 (2019)

    ADS  Google Scholar 

  42. F. Ahmed, Ann. Phys. (N.Y.) 404, 1 (2019)

    ADS  Google Scholar 

  43. F. Ahmed, Gen. Relat. Gravit. 51, 69 (2019)

    ADS  Google Scholar 

  44. M.D. de Oliveria, A.G.M. Schmidt, Ann. Phys. (N.Y.) 401, 21 (2019)

    ADS  Google Scholar 

  45. J. Carvalho, C. Furtado, F. Moraes, Phys. Rev. A 84, 032109 (2011)

    ADS  Google Scholar 

  46. M. Gürses, Class Quantum Grav. 11, 2585 (1994)

    ADS  Google Scholar 

  47. R.J. Gleiser, M. Gürses, A. Karasu, O. Sarioglu, Class. Quantum Grav. 23, 2653 (2006)

    ADS  Google Scholar 

  48. M. Gürses, Gen. Relat. Gravit. 42, 1413 (2010)

    ADS  Google Scholar 

  49. M. Gürses, A. Karasu, O. Sarioglu, Class. Quantum Grav. 22, 1527 (2006)

    ADS  Google Scholar 

  50. M. de Montigny, S. Zare, H. Hassanabadi, Gen Relat. Gravit. 50, 47 (2018)

    ADS  Google Scholar 

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Authors and Affiliations

  1. Ajmal College of Arts and Science, 783324, Dhubri, Assam, India

    Faizuddin Ahmed

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  1. Faizuddin Ahmed
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Correspondence to Faizuddin Ahmed.

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Ahmed, F. The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds. Eur. Phys. J. Plus 134, 518 (2019). https://doi.org/10.1140/epjp/i2019-12876-6

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  • DOI: https://doi.org/10.1140/epjp/i2019-12876-6

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