Skip to main content
Springer Nature Link
Log in

Gravitational geometric phase in the presence of torsion

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

An Erratum to this article was published on 19 September 2009

Abstract

We investigate the relativistic and non-relativistic quantum dynamics of a neutral spin-1/2 particle subject to an external electromagnetic field in the presence of a cosmic dislocation. We analyze the explicit contribution of the torsion in the geometric phase acquired in the dynamics of this neutral spinorial particle. We discuss the influence of the torsion in the relativistic geometric phase. Using the Foldy–Wouthuysen approximation, the non-relativistic quantum dynamics is studied and the influence of the torsion on the Aharonov–Casher and He–McKellar–Wilkens effects are discussed.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. B.K. Datta, Nuovo Cimento B 6(1), 16 (1971)

    Article  ADS  Google Scholar 

  2. F.W. Hehl, Gen. Relativ. Gravit. 4, 333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  3. F.W. Hehl, P. von der Heyde, G.D. Kerlich, Rev. Mod. Phys. 48, 393 (1976)

    Article  ADS  Google Scholar 

  4. R. Hammond, Rep. Prog. Phys. 65, 599 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  5. J. Audretsch, Phys. Rev. D 24, 1470 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  6. H. Rumpf, Gen. Relativ. Gravit. 14, 1470 (1982)

    Article  MathSciNet  Google Scholar 

  7. I.L. Shapiro, Phys. Rep. 357, 113 (2002). hep-th/0103093

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. H. Kleinert, gr-qc/9801003

  9. C. Lämmerzahl, Phys. Lett. A 228, 223 (1997)

    Article  ADS  Google Scholar 

  10. V.G. Bagrov, I.L. Buchbinder, I.L. Shapiro, hep-th/9406122

  11. R. Hammond, Phys. Lett. A 184, 409 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. A. Dobado, A. Maroto, Mod. Phys. Lett. A 12, 3003 (1997)

    Article  MATH  ADS  Google Scholar 

  13. P. Singh, L.H. Ryder, Class. Quantum Gravity 14, 3513 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. L.H. Ryder, I.L. Shapiro, Phys. Lett. A 247, 21 (1998)

    Article  ADS  Google Scholar 

  15. V. Alan Kostelecky, N. Russel, J. Tasson, Phys. Rev. Lett. 100, 111102 (2008)

    Article  ADS  Google Scholar 

  16. E. Kröner, Appl. Mech. Rev. 15, 599 (1962)

    Google Scholar 

  17. B.A. Bilby, R. Bullough, E. Smith, Proc. R. Soc. Lond. A 231, 263 (1955)

    Article  ADS  MathSciNet  Google Scholar 

  18. H. Kleinert, Gauge Fields in Condensed Matter, vol. 2 (World Scientific, Singapore, 1989)

    MATH  Google Scholar 

  19. I.E. Dzyaloshinskii, G.E. Volovik, Ann. Phys. 125, 67 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  20. R. Bausch, R. Schmitz, L.A. Turski, Phys. Rev. Lett. 80, 2257 (1998)

    Article  ADS  Google Scholar 

  21. M.O. Katanaev, I.V. Volovich, Ann. Phys. 216, 1 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. C. Furtado, F. Moraes, Phys. Lett. A 188, 392 (1994)

    Article  ADS  Google Scholar 

  23. E. Aurell, J. Phys. A: Math. Gen. 32, 571 (1999)

    Article  MATH  ADS  Google Scholar 

  24. K. Kawamura, Z. Phys. B 29, 101 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  25. C. Furtado, V.B. Bezerrae, F. Moraes, Europhys. Lett. 52, 1 (2000)

    Article  ADS  Google Scholar 

  26. C. Furtado, V.B. Bezerrae, F. Moraes, Phys. Lett. A 289, 160 (2001)

    Article  ADS  Google Scholar 

  27. C. Furtado, B.G.C. da Cunha, F. Moraes , Phys. Lett. A 195(1), 90 (1994)

    Article  ADS  Google Scholar 

  28. C. Furtado, F. Moraes, Europhys. Lett. 45, 279 (1999)

    Article  ADS  Google Scholar 

  29. R.A. Puntingan a, H.H. Soleng, Class. Quantum Gravity 14, 1129 (1997)

    Article  ADS  Google Scholar 

  30. M. Lazar, C. Anastassiadis, arXiv:0802.0670

  31. M.V. Berry, Proc. R. Soc. London A 392, 457 (1984)

    Article  Google Scholar 

  32. Y.Q. Cai, G. Papini, Phys. Rev. Lett. 66, 1259 (1991)

    Article  ADS  Google Scholar 

  33. G. Papini, Phys. Rev. D 75, 044022 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  34. Y.Q. Cai, G. Papini, Mod. Phys. Lett. A 4, 1143 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  35. Y.Q. Cai, G. Papini, Class. Quantum Gravity 7, 269 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  36. A. Corichi, M. Pierri, Phys. Rev. D 51, 5870 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  37. A. Mostafazadeh, J. Phys. A 31, 7829 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  38. J.G. de Assis, C. Furtado, V.B. Bezerra, Phys. Rev. D 62, 045003 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  39. J.S. de Carvalho, E. Passos, C. Furtado, F. Moraes, Eur. Phys. J. C (2008). doi:10.1140/epjc/s10052-008-0696-1

  40. L.L. Feng, W.L. Lee, Int. J. Mod. Phys. D 10, 961

  41. P. Ji, Y. Bai, L. Wang, Phys. Rev. D 75, 024010 (2007)

    Article  ADS  Google Scholar 

  42. J. Anandan, Phys. Rev. Lett. 85, 1354 (2000)

    Article  ADS  Google Scholar 

  43. J. Anandan, Phys. Lett. A 138, 347 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  44. J. Anandan, Phys. Lett. A 195, 284 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  45. E. Passos, L.R. Ribeiro, C. Furtado, J.R. Nascimento, Phys. Rev. A 76, 012113 (2007)

    Article  ADS  Google Scholar 

  46. K. Bakke, R.J. Nascimento, C. Furtado, Phys. Rev. D 78, 064012 (2008). hep-th/0803.3428

    Article  ADS  Google Scholar 

  47. B. Resnik, Phys. Rev. D 51, 3108 (1995)

    Article  ADS  Google Scholar 

  48. M. Alimohammadi, A. Shariati, Eur. Phys. J. C 21, 193 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  49. J. Audretsch, C. Lämmerzahl, J. Phys. A: Math. Gen. 16, 2457 (1983)

    Article  ADS  Google Scholar 

  50. S. Capozziello, G. Lambiase, Europhys. Lett. 52, 15 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  51. Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  52. X.-G. He, B.H.J. McKllar, Phys. Rev. A 47, 3424 (1983)

    Article  ADS  Google Scholar 

  53. M. Wilkens, Phys. Rev. Lett. 72, 5 (1994)

    Article  ADS  Google Scholar 

  54. M. Nakahara, Geometry, Topology and Physics (Institute of Physics Publishing, Bristol, 1998)

    Google Scholar 

  55. D.V. Gal’tsov, P.S. Letelier, Phys. Rev. D 47, 9273 (1993)

    MathSciNet  Google Scholar 

  56. P.S. Letelier, Class. Quantum Gravity 12, 471 (1995)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  57. D.D. Sokolov, A.A. Starobinskii, Sov. Phys. Dokl. 22, 312 (1977)

    ADS  Google Scholar 

  58. L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)

    Article  MATH  ADS  Google Scholar 

  59. C. Furtado, C.A. de Lima Ribeiro, Phys. Rev. A 69, 064104 (2004)

    Article  ADS  Google Scholar 

  60. C. Furtado, F. Moraes, A.M.M. de Carvalho, Phys. Lett. A 372, 5368 (2008). cond-mat/0601391

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Pb, Brazil

    Knut Bakke, Claudio Furtado & J. R. Nascimento

Authors
  1. Knut Bakke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Claudio Furtado
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. R. Nascimento
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Claudio Furtado.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1140/epjc/s10052-009-1148-2

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bakke, K., Furtado, C. & Nascimento, J.R. Gravitational geometric phase in the presence of torsion. Eur. Phys. J. C 60, 501–507 (2009). https://doi.org/10.1140/epjc/s10052-009-0944-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-0944-z

Keywords

Search

Navigation