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

YUAN Yi; LI Kang; WANG Jian-Hua; CHEN Chi-Yi

doi:10.1088/1674-1137/34/5/005

Chinese Physics C> 2010, Vol. 34> Issue(5) : 543-547 DOI: 10.1088/1674-1137/34/5/005

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

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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.

References

[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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: WANG Jian-Hua,

Received Date: 2009-06-17

Accepted Date: 2009-09-07

Available Online: 2010-05-05

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

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