Chin. Phys. Lett.  2003, Vol. 20 Issue (10): 1689-1690    DOI:
Original Articles |
Noncommutativity in Haldane’s Model
XIONG Chuan-Hua
Institute of Modern Physics, Northwest University, Xi’an 710069
Cite this article:   
XIONG Chuan-Hua 2003 Chin. Phys. Lett. 20 1689-1690
Download: PDF(165KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We treat Haldane’s model by the standard Dirac procedure. After canonical quantization, the coordinates of the particle become noncommutative, and the commutation relations for the coordinates coincide exactly with those defining a fuzzy two-dimensional sphere.
Keywords: 11.10.Ef      02.40.Gh     
Published: 01 October 2003
PACS:  11.10.Ef (Lagrangian and Hamiltonian approach)  
  02.40.Gh (Noncommutative geometry)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2003/V20/I10/01689
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
XIONG Chuan-Hua
Related articles from Frontiers Journals
[1] LIN Bing-Sheng**, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension[J]. Chin. Phys. Lett., 2011, 28(7): 1689-1690
[2] CHEN Xiang-Wei, MEI Feng-Xiang** . Jacobi Last Multiplier Method for Equations of Motion of Constrained Mechanical Systems[J]. Chin. Phys. Lett., 2011, 28(4): 1689-1690
[3] GUO Xiao-Bo, TAO Jun, LI Lei, WANG Shun-Jin,. Light Flavor Vector and Pseudo Vector Mesons from a Light-Cone QCD Inspired Effective Hamiltonian Model with SU(3) Flavor Mixing Interactions[J]. Chin. Phys. Lett., 2010, 27(6): 1689-1690
[4] ZHANG Zheng-Di, BI Qin-Sheng . Singular Wave Solutions of Two Integrable Generalized KdV Equations[J]. Chin. Phys. Lett., 2010, 27(10): 1689-1690
[5] ZHANG Ying. Z' Mixing Effect in Stueckelberg Extended Effective Theory[J]. Chin. Phys. Lett., 2009, 26(8): 1689-1690
[6] GUO Xiao-Bo, TAO Jun, LI Lei, ZHOU Shan-Gui, WANG Shun-Jin,. A Light-Cone QCD Inspired Effective Hamiltonian Model with SU(3) Flavor Mixing[J]. Chin. Phys. Lett., 2009, 26(4): 1689-1690
[7] TAO Jun, LI Lei, ZHOU Shan-Gui, WANG Shun-Jin. A Light-Cone QCD Inspired Effective Hamiltonian Model for Pseudoscalar and Scalar Mesons[J]. Chin. Phys. Lett., 2008, 25(9): 1689-1690
[8] WU Hong-Tu, HUANG Chao-Guang, GUO Han-Ying. From the Complete Yang Model to Snyder's Model, de Sitter Special Relativity and Their Duality[J]. Chin. Phys. Lett., 2008, 25(8): 1689-1690
[9] YU Xiao-Min, LI Kang. Non-Commutative Fock--Darwin System and Magnetic Field Limits[J]. Chin. Phys. Lett., 2008, 25(6): 1689-1690
[10] CHEN Jing-Bo. Multisymplectic Geometry and Its Applications for the Schrodinger Equation in Quantum Mechanics[J]. Chin. Phys. Lett., 2007, 24(2): 1689-1690
[11] LI Lei, WANG Shun-Jin, ZHOU Shan-Gui, ZHANG Guang-Biao. A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space[J]. Chin. Phys. Lett., 2007, 24(2): 1689-1690
[12] WANG Jian-Hua, LI Kang,. He--McKellar--Wilkens Effect in Noncommutative Space[J]. Chin. Phys. Lett., 2007, 24(1): 1689-1690
[13] WANG Shun-Jin, LI Lei, ZHOU Shan-Gui, ZHANG Guang-Biao. On the Physical Contents of the Light-Cone QCD Effective Hamiltonian on Meson Sector[J]. Chin. Phys. Lett., 2006, 23(6): 1689-1690
[14] CHEN Jing-Bo. A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation[J]. Chin. Phys. Lett., 2006, 23(2): 1689-1690
[15] S. A. Alavi. General Noncommuting Curvilinear Coordinates and Fluid Mechanics[J]. Chin. Phys. Lett., 2006, 23(10): 1689-1690
Viewed
Full text


Abstract