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Non-commutative quantum mechanics and the Aharonov-Casher effect

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Abstract.

In this work a new method is developed to investigate the Aharonov-Casher effect in a non-commutative space. It is shown that the holonomy receives non-trivial kinematical corrections.

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References

  1. M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001), hep-th/0106048

    Google Scholar 

  2. A. Connes, M.R. Douglas, A. Schwarz, JHEP 9802, 003 (1998), hep-th/9808042

    Google Scholar 

  3. N. Seiberg, E. Witten, JHEP 9909, 032 (1999), hep-th/9908142

    Google Scholar 

  4. L. Susskind, hep-th/0101029

  5. M. Chaichian, A. Demichev, P. Presnajder, Nucl. Phys. B 567, 360 (2000), hep-th/9812180

    Article  MathSciNet  MATH  Google Scholar 

  6. L. Alvarez-Gaume, S.R. Wadia, Phys. Lett. B 501, 319 (2001), hep-th/0006219

    Article  MathSciNet  MATH  Google Scholar 

  7. L. Mezincescu, hep-th/0007046

  8. V.P. Nair, Phys. Lett. B 505, 249 (2001), hep-th/0008027

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Chaichian, M.M. Sheikh-Jabbari, A. Tureanu Phys. Rev. Lett. 86, 2716 (2001), hep-th/0010175

    Article  Google Scholar 

  10. J. Gamboa, M. Loewe, J.C. Rojas, Phys. Rev. D 64, 067901 (2001), hep-th/0010220

    Article  Google Scholar 

  11. S. Belluchi , A. Nersessian, C. Sochichiu, Phys. Lett. B 522, 345 (2001), hep-th/0106138

    Article  MathSciNet  MATH  Google Scholar 

  12. C. Acatrinei, JHEP 0109, 007 (2001), hep-th/0107078

    Google Scholar 

  13. J. Gamboa, M. Loewe, F.M. Mendez, J.C. Rojas, Int. J. Mod. Phys. A 17, 2555 (2002), hep-th/0106125

    Article  MathSciNet  Google Scholar 

  14. J. Gamboa, M. Loewe, F. Mendez, J.C. Rojas, Mod. Phys. Lett. A 16, 2075 (2001), hep-th/0104224

    Article  MathSciNet  Google Scholar 

  15. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1958)

    Article  MATH  Google Scholar 

  16. M. Chaichian, A. Demichev, P. Presnajder, M.M. Sheikh-Jabbari, A. Tureanu, Phys. Lett. B 527, 149 (2002), hep-th/0012175

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  18. A. Cimmino, G.I. Opat, A.G. Klein, H. Kaiser, S.A. Werner, M. Arif, R. Clothier, Phys. Rev. Lett. 63, 380 (1989)

    Article  Google Scholar 

  19. A.S. Goldhaber, Phys. Rev. Lett. 62, 482 (1989)

    Google Scholar 

  20. T.H. Boyer, Phys. Rev. A 36, 5083 (1987)

    Article  Google Scholar 

  21. Y. Aharonov, P. Pearl, L. Vaidman, Phys. Rev. A 37, 4052 (1988)

    Article  Google Scholar 

  22. Xiao-Gang He, Bruce H.J. McKeller, Phys Lett. B 256, 250 (1991)

    Article  Google Scholar 

  23. I. Hinchliffe, N. Kersting, Y.L. Ma, hep-ph/0205040

  24. P. Schupp, J. Trampetic, J. Wess, G. Raffelt, hep-ph/0212292

  25. P. Minkowski, P. Schupp, J. Trampetic, hep-th/0302175

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Authors and Affiliations

  1. Department of Physics, Isfahan University of Technology, 84154, Isfahan, Iran

    B. Mirza & M. Zarei

  2. Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 5746, 19395, Tehran, Iran

    B. Mirza

Authors
  1. B. Mirza
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  2. M. Zarei
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Corresponding author

Correspondence to B. Mirza.

Additional information

Received: 7 June 2003, Revised: 28 October 2003, Published online: 15 January 2004

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Mirza, B., Zarei, M. Non-commutative quantum mechanics and the Aharonov-Casher effect. Eur. Phys. J. C 32, 583–586 (2004). https://doi.org/10.1140/epjc/s2003-01522-8

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  • DOI: https://doi.org/10.1140/epjc/s2003-01522-8

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