Abstract
We study the motion of a neutral particle in symmetric gauge and in the framework of non-commutative Quantum Mechanics. Starting from the corresponding Hamiltonian we derive the eigenfunction and eigenvalues.
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Seiberg, N., Witten, E.: JHEP 032, 9909 (1999)
Ardalan, F., Arfaei, H., Sheikh-Jabbari, M.M.: JHEP 016, 9902 (1999)
Curtright, T., Fairlie, D., Zachos, C.: Phys. Rev. D 58, 25002 (1998)
Dulat, S., Li, K., Wang, J.-H.: Wigner functions for the Landau problem in noncommutative quantum mechanics. Theor. Math. Phys. 167(2), 628–635 (2011)
Dulat, S., Li, K.: Commutator anomaly in noncommutative quantum mechanics. Mod. Phys. Lett. A 21(39), 2971–2976 (2006)
Ho, P.-M., Kao, H.-C.: Noncommutative quantum mechanics from noncommutative quantum field theory. Phys. Rev. Lett. 88, 213–250 (2002)
Muthukumar, B., Mitra, P.: Noncommutative oscillators and the commutaive limit. Phys. Rev. D 66(2), 611–627 (2002)
Camboa, J., Loewe, M., Roas, J.-C.: Noncommutative Quantum Mechanics. arXiv:http://arXiv.org/abs/hep-th/0010220
Christiansen, H.R., Schaposnik, F.A.: Noncommutative quantum mechanics and rotating frames. Phys. Rev. D 65(8), 381–399 (2002)
Dulat, S., Li, K.: Quantum Hall effect on noncommutative quantum mechanics. Eur. Phys. J C60, 163–168 (2009)
Jianhua, W., Kang, L.: The HMW effect in noncommutative quantum mechanics. J. Phys. A. Math. Theor. 40, 2197–2202 (2007)
Kang, L., Jianhua, W.: The topological AC effect on noncommutative phase space. Eur. Phys. J. C50(4), 1007–1011 (2007)
Pachos, J.K., Rico, E.: Phys. Rev. A 70, 035620 (2004)
Duan, L.-M., Demler, E., Lukin, M.D.: Phys. Rev. Lett. 91, 090402 (2003)
Zhu, S.-L., Fu, H., Wu, C.-J., Zhang, S.-C., Duan, L.-M.: Phys. Rev. Lett. 97, 240401 (2006)
Liu, X.-J., Liu, X., Kwek, L.C., Oh, C.H.: Phys. Rev. Lett. 98, 026602 (2007)
Ericsson, M., Sjöqvist, E.: Towards a quantum hall effect for atoms using electric fields. Phys. Rev. A 65, 013607 (2001)
Furtado, C., Nascimento, J.R., Ribeiro, L.R.: Landau quantization of neutral particles in an external field. Phys. Lett. A 358, 336–338 (2006)
Basu, B., Dhar, S., Chatterjee, S.: On atomic analogue of Landau quantization. Phys. Lett. A 372, 4319–4322 (2008)
Kang, L., Jian-Hua, W., Chi-Yi, C.: Mod. Phys. Lett. A 20(28), 2165 (2005)
Acknowledgments
This work was supported by National Natural Science Foundation of China(Grant Nos. 11465018 and 11165014).
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Mamat, J., Dulat, S. & Mamatabdulla, H. Landau-like Atomic Problem on a Non-commutative Phase Space. Int J Theor Phys 55, 2913–2918 (2016). https://doi.org/10.1007/s10773-016-2922-1
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DOI: https://doi.org/10.1007/s10773-016-2922-1