THE INHOMOGENEOUS QUANTUM INVARIANCE GROUP OF q-DEFORMED BOSON ALGEBRA

被引：2
|
作者：
Altintas, Azmi Ali [1 ]
Arik, Metin [2 ]
Arikan, Ali Serdar [3 ]
机构：
[1] Okan Univ, Fac Engn, Istanbul, Turkey
[2] Bogazici Univ, Dept Phys, Istanbul, Turkey
[3] Sakarya Univ, Dept Phys, Esentepe, Sakarya, Turkey
来源：
MODERN PHYSICS LETTERS A | 2009年 / 24卷 / 38期
关键词：
Quantum groups; q-deformed boson algebra; DIFFERENTIAL-CALCULUS; OSCILLATOR;
D O I：
10.1142/S0217732309031211
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We investigate the inhomogeneous invariance group of the q-deformed boson algebra. We find the R-matrix which gives the noncommuting structure of the quantum group with RM(1)M(2) = M(2)M(1)R relation.
引用
收藏
页码：3137 / 3142
页数：6
相关论文
共 50 条
  • [1] THE INHOMOGENEOUS INVARIANCE QUANTUM GROUP OF Q-DEFORMED BOSON ALGEBRA WITH CONTINUOUS PARAMETERS
    Altintas, Azmi Ali
    Arik, Metin
    Arikan, Ali Serdar
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2011, 18 (01) : 121 - 125
  • [2] The Inhomogeneous Invariance Quantum Group of Q-Deformed Boson Algebra with Continuous Parameters
    Azmi Ali Altintas
    Metin Arik
    Ali Serdar Arikan
    [J]. Journal of Nonlinear Mathematical Physics, 2011, 18 : 121 - 125
  • [3] The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra
    Altintas, Azmi A.
    Arik, Metin
    Arikan, Ali S.
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2010, 8 (01): : 131 - 134
  • [4] The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra
    Alim, Huseyin
    Altintas, Azmi Ali
    Arik, Metin
    Arikan, Ali Serdar
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (03) : 633 - 643
  • [5] The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra
    Huseyin Alim
    Azmi Ali Altintas
    Metin Arik
    Ali Serdar Arikan
    [J]. International Journal of Theoretical Physics, 2010, 49 : 633 - 643
  • [6] Q-DEFORMED OSCILLATOR ALGEBRA AS A QUANTUM GROUP
    YAN, H
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22): : L1155 - L1160
  • [7] Quantum Group Structure of the q-Deformed Virasoro Algebra
    Hu N.
    [J]. Letters in Mathematical Physics, 1998, 44 (2) : 99 - 103
  • [8] Quantum group structure of the q-deformed Virasoro algebra
    Hu, NH
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (02) : 99 - 103
  • [9] Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra
    Altintas, Azmi Ali
    Arik, Metin
    Arikan, Ali Serdar
    Dil, Emre
    [J]. CHINESE PHYSICS LETTERS, 2012, 29 (01)
  • [10] The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group
    Altintas, Azmi A.
    Arik, Metin
    Arikan, Ali S.
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2010, 8 (05): : 819 - 824
12345