Skip to main content
SpringerLink
Log in

SU(1,1) solutions for the relativistic quantum particle in cosmic string spacetime

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

We have studied a relativistic electron in the presence of a uniform magnetic field and scalar potential in the cosmic string spacetime. The exact solutions of the Dirac equation with a Coulomb-like scalar potential and linear vector potential through the gravitational fields are found using \( SU(1,1)\) Lie algebras.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T.W.B. Kibble, J. Phys. A: Math. Gen. 9, 1387 (1976)

    Article  MATH  ADS  Google Scholar 

  2. A. Vilenkin, E.P.S. Shellard, Cosmic Strings and other Topological Defects, in Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2000) ISBN-10: 0521654769 and ISBN-13: 978-0521654760

  3. R.H. Brandenberger, Int. J. Mod. Phys. A 9, 2117 (1994)

    Article  ADS  Google Scholar 

  4. T. Damour, A. Vilenkin, Phys. Rev. D 71, 063510 (2005)

    Article  ADS  Google Scholar 

  5. M.B. Hindmarshis, T.W.B. Kibble, Rep. Prog. Phys. 58, 411 (1995)

    Google Scholar 

  6. D.A. Rogozin, L.V. Zadorozhna, Astron. Nachr. 334, 1051 (2013)

    Article  ADS  Google Scholar 

  7. B. Hartmann, F. Michel, Phys. Rev. D 86, 105026 (2012)

    Article  ADS  Google Scholar 

  8. K. Miyamotoa, K. Nakayama, JCAP 2013, 012 (2013)

    Article  Google Scholar 

  9. A.G. Smith, in The Formation and Evolution of Cosmic Strings, Proceedings of the Cambridge Workshop, Cambridge, England, edited by G.W. Gibbons, S.W. Hawking, T. Vachaspati (Cambridge University Press, Cambridge, England, 1990)

  10. V.B. Bezerra, E.R. Bezerra de Mello, Class. Quantum Grav. 11, 457 (1994)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. E.R. Bezerra de Mello, Class. Quantum Grav. 11, 1415 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  12. S.H. Hendi, Adv. High Energy Phys. 2014, 697914 (2014)

    Google Scholar 

  13. Maarten van de Meent, Phys. Rev. D 87, 025020 (2013)

    Article  ADS  Google Scholar 

  14. K. Bakke, J.R. Nascimento, C. Furtado, Phys. Rev. D 78, 064012 (2008)

    Article  ADS  Google Scholar 

  15. E.R. Bezerra de Mello, V.B. Bezerra, A.A. Saharian, A.S. Tarloyan, Phys. Rev. D 78, 105007 (2008)

    Article  ADS  Google Scholar 

  16. K. Bakke, C. Furtado, Ann. Phys. 336, 489 (2013)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. E.R.F. Medeiros, E.R.B. de Mello, Eur. Phys. J. C 72, 2051 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. V.B. Bezerra, Class. Quantum Grav. 8, 1939 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  20. G. de Marques, V.B. Bezerra, Phys. Rev. D 66, 105011 (2002)

    Article  ADS  Google Scholar 

  21. Y. Sucu, N. Ünal, J. Math. Phys. 48, 052503 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  22. G.D. Marques, V.B. Bezerra, S.H. Dong, Mod. Phys. Lett. A 28, 1350137 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  23. Ö. Yeşiltaş, Adv. High Energy Phys. 2014, 186425 (2014)

    Google Scholar 

  24. R.P. Martínez-y-Romero, H.N. Núñez-Yépez, A.L. Salas-Brito, Phys. Lett. A 339, 259 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

  26. C. Quesne, Int. J. Mod. Phys. A 6, 1567 (1991)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. A.D. Alhaidari, Phys. Rev. A 65, 042109 (2002)

    Article  ADS  Google Scholar 

  28. M. Hamzavi, S.M. Ikhdair, B.J. Falaye, Ann. Phys. 341, 153 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  29. P. Roy, R. Roychoudhury, Mod. Phys. Lett. A 10, 1969 (1995)

    Article  ADS  Google Scholar 

  30. M. Salazar-Ramírez, D. Martínez, R.D. Mota, V.D. Granados, J. Phys. A 43, 445203 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  31. C.C. Gerry, Phys. Rev. A 35, 2146 (1987)

    Article  ADS  Google Scholar 

  32. Ö. Yeşiltaş, Phys. Lett. A 377, 49 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  33. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, in Dover Books on Mathematics (Dover Publications, 1965) ISBN-10: 0486612724, ISBN-13: 978-0486612720

  34. F. Cooper, A. Khare, U. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific Pub. Co. Inc., 2002) ISBN-10: 9810246129 ISBN-13: 978-9810246129, pp. 40

  35. C. Furtado, F. Moraes, Phys. Lett. A 188, 394 (1994)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey

    Özlem Yeşiltaş

Authors
  1. Özlem Yeşiltaş
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Özlem Yeşiltaş.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yeşiltaş, Ö. SU(1,1) solutions for the relativistic quantum particle in cosmic string spacetime. Eur. Phys. J. Plus 130, 128 (2015). https://doi.org/10.1140/epjp/i2015-15128-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2015-15128-y

Keywords

Search

Navigation