The non-commutative oscillator, symmetry and the Landau problem

被引：49
作者：
Giri, Pulak Ranjan [1 ]
Roy, P. [2 ]
机构：
[1] Saha Inst Nucl Phys, Div Theory, Kolkata 700064, W Bengal, India
[2] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, W Bengal, India
来源：
EUROPEAN PHYSICAL JOURNAL C | 2008年 / 57卷 / 04期
关键词：
03; 65; -w; Db; Ta;
D O I：
10.1140/epjc/s10052-008-0705-4
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The isotropic oscillator on a plane is discussed where the coordinate and momentum space are both considered to be non-commutative. We also discuss the symmetry properties of the oscillator for three separate cases when the non-commutative parameters Θ and Θ for x and p-space, respectively, satisfy specific relations. We compare the Landau problem with the isotropic oscillator on non-commutative space and obtain a relation between the two non-commutative parameters and the magnetic field of the Landau problem. © 2008 Springer-Verlag / Società Italiana di Fisica.
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收藏
页码：835 / 839
页数：5
相关论文
共 25 条
  • [1] Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
    Alvarez, Pedro D.
    Gomis, Joaquim
    Kamimura, Kiyoshi
    Plyushchay, Mikhail S.
    [J]. PHYSICS LETTERS B, 2008, 659 (05) : 906 - 912
  • [2] (2+1)D exotic Newton-Hooke symmetry, duality and projective phase
    Alvarez, Pedro D.
    Gomis, Joaquim
    Kamimura, Kiyoshi
    Plyushchay, Mikhail S.
    [J]. ANNALS OF PHYSICS, 2007, 322 (07) : 1556 - 1586
  • [3] Balachandran AP, 2004, J HIGH ENERGY PHYS
  • [4] Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces
    Banerjee, Rabin
    Kumar, Kuldeep
    [J]. PHYSICAL REVIEW D, 2007, 75 (04)
  • [5] Mesoscopic superposition states in relativistic landau levels
    Bermudez, A.
    Martin-Delgado, M. A.
    Solano, E.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 99 (12)
  • [6] Noncommutative gravitational quantum well -: art. no. 025010
    Bertolami, O
    Rosa, JG
    de Aragao, CML
    Castorina, P
    Zappalà, D
    [J]. PHYSICAL REVIEW D, 2005, 72 (02): : 1 - 9
  • [7] Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
    del Olmo, Mariano A.
    Plyushchay, Mikhail S.
    [J]. ANNALS OF PHYSICS, 2006, 321 (12) : 2830 - 2848
  • [8] DELDUC F, ARXIV07102239V1QUANT
  • [9] Demetrian M, 2002, ACTA PHYS SLOVACA, V52, P1
  • [10] Noncommutative field theory
    Douglas, MR
    Nekrasov, NA
    [J]. REVIEWS OF MODERN PHYSICS, 2001, 73 (04) : 977 - 1029
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