Abstract
We investigate the effects of the Aharonov-Bohm field and a linear interaction on the quantum dynamics of both nonrelativistic and relativistic (Dirac equation) particles in noncommutative formulation.
Similar content being viewed by others
References
Aharonov, Y., Bohm, D.: Phys. Rev 115, 485 (1959)
Chambers, R.G.: Phys. Rev. Lett 5, 3 (1960)
Peskin, M., Tonomura, A.: The Aharonov–Bohm effect. Springer, Berlin (1989)
Seiberg, N., Witten, E.: JHEP 09, 032 (1999)
Seiberg, N., Susskind, L., Toumbas, N.: JHEP 06, 044 (2000)
Douglas, M.R., Nekrasov, N.A.: Rev. Mod. Phys 73, 977 (2001)
Moffat, J.W.: Phys. Lett. B 493, 142 (2000)
Connes, A., Douglas, M.R., Schwarz, A.: JHEP 02, 003 (1998)
Susskind, L.: The quantum hall fluid and non-commutative Chern–Simons theory, arXiv:hep-th/0101029
Dayi, O.F., Jellal, A.: J. Math. Phys 43, 4592 (2002)
Basu, B., Ghosh, S.: Phys. Lett. A 346, 133 (2005)
Duval, C., Horvathy, P.A. Phys. Lett. B 479, 284 (2000)
Hassanabadi, H., Rahimov, H., Zarrinkamar, S.: Ann. Phys. (Berlin) 523(7), 566–575 (2011)
Eichten, E., Gottfried, K., Kinoshita, T., Lane, K.D., Yan, T.M.: Phys. Rev. D 17, 3090–3117 (1978)
Chaichian, M., Sheikh-Jabbari, M.M., Tureanu, A.: Phys. Rev. Lett 86, 2716 (2001)
Li, K., Wang, J.: Eur. Phys. J. C 50, 1007 (2007)
Calmet, X., Selvaggi, M.: Phys. Rev. D 037901, 74 (2006)
Hassanabadi, H., Molaee, Z., Zarrinkamar, S.: Eur. Phys. J. C 72, 2217 (2012)
Li, K., Wang, J., Chen, C.: Mod. Phys. Lett. A. 20, 2165 (2005)
Dulat, S., Li, K.: Chin. Phys. C 32, 92 (2008)
Motavalli, H., Rezaei-Akbarieh, A.: Mod. Phys. Lett. A 25, 2523 (2010)
Chaichian, M., Sheikh-Jabbari, M.M., Tureanu, A.: Phys. Rev. Lett 86, 2716–2719 (2001)
Dong, S.H., Ma, Z., Espozito, G.: Found. Phys. Lett 12, 465 (1999)
Dong, S.H.: Int. J. Theor. Phys 39, 1119 (2000)
Dong, S.H.: Int. J. Theor. Phys 40, 569 (2001)
Arda, A., Sever, R.: Phys. Scr 82, 065007 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hassanabadi, H., Hosseini, S.S. & Zarrinkamar, S. The Linear Interaction in Noncommutative Space; Both Relativistic and Nonrelativistic Cases. Int J Theor Phys 54, 251–259 (2015). https://doi.org/10.1007/s10773-014-2219-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2219-1