Spin-1/2 relativistic particle in a magnetic field in NC phase space

  • This work provides an accurate study of the spin-1/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space
    has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity.

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  • [1] . Seiberg N, Witten E. JHEP, 1999, 09: 0322. Connes A, Douglas M R, Schwarz A. JHEP, 1998, 02: 0033. Chaichian M, Demichev A, Presnajder P. Nucl. Phys. B,2000, 567: 3604. Mirza B, Zarei M. Eur. Phys. J. C, 2004, 32: 583; MirzaB, Mohadesi M. Commun. Theor.Phys., 2004, 42: 6645. Chaichian M, Sheikh-Jabbari M M, Tureanu A. Eur. Phys.J. C, 2004, 36: 251; Phys. Rev. Lett., 2001, 86: 27166. Nair V P. Phys. Lett. B, 2001, 505: 2497. Chaichian M. Phys. Rev. Lett., 2001, 86: 27168. Gamboa J, Loewe M, Rojas J C. Phys. Rev. D, 2001, 64:0679019. Belluchi S. Phys. Lett. B, 2001, 522: 34510. Acatrinei C. JHEP, 2001, 0109: 00711. ZHANG J Z. Phys. Lett. B, 2004, 584: 20412. LI K, WANG J H, CHEN C Y. Mod. Phys. Lett. A, 2005,20: 216513. LI K, Dulat S. Eur. Phys. J. C, 2006, 46: 82514. WANG J H, LI K, LIU P. High Energy Phys., 2006, 30:37815. LI K. Chamoun N. Chin. Phys. Lett., 2006, 23: 112216. WANG J H, LI K. Chin. Phys. Lett., 2007, 24: 517. LI K, WANG J H. Eur. Phys. J. C, 2007, 50: 100718. WANG J H, LI K. J. Phys. A, 2007, 40: 219719. BAI Y K, LI S S, ZHENG H Z. Phys. Rev. A, 2005, 72:52320; Phys. Rev. A, 2004, 69: 52305; J. Phys. A, 2005,38: 863320. SHENG Z M, FU Y M, YU H B. Chin. Phys. Lett., 2005,22: 561; GAO Y F, ZHANG Y P. Chin. Phys. Lett., 2005,22: 104521. Gamboa J. Int. J. Mod. Phys. A, 2002, 17: 2555-256622. ZENG J Y. Quantum Mechanics(2). Beijing: SciencePress(third edition), 2000. 604-606
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YUAN Yi, LI Kang, WANG Jian-Hua and CHEN Chi-Yi. Spin-1/2 relativistic particle in a magnetic field in NC phase space[J]. Chinese Physics C, 2010, 34(5): 543-547. doi: 10.1088/1674-1137/34/5/005
YUAN Yi, LI Kang, WANG Jian-Hua and CHEN Chi-Yi. Spin-1/2 relativistic particle in a magnetic field in NC phase space[J]. Chinese Physics C, 2010, 34(5): 543-547.  doi: 10.1088/1674-1137/34/5/005 shu
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Received: 2009-06-17
Revised: 2009-09-07
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Spin-1/2 relativistic particle in a magnetic field in NC phase space

    Corresponding author: WANG Jian-Hua,

Abstract: 

This work provides an accurate study of the spin-1/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space
has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity.

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