THE CONSTRUCTION OF NONCOMMUTATIVE MANIFOLDS USING COHERENT STATES

被引：77
|
作者：
GROSSE, H [1 ]
PRESNAJDER, P [1 ]
机构：
[1] UNIV VIENNA,INST THEORET PHYS,BOLTZMANNGASSE 5,A-1090 VIENNA,AUSTRIA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1993年 / 28卷 / 03期
关键词：
D O I：
10.1007/BF00745155
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We describe the construction of noncommutative manifolds, which are the noncommutative analogs of homogeneous spaces using coherent states. In the conunutative limit, we obtain standard manifolds. Applications to the Fuzzy-sphere and to the Fuzzy hyperboloid are discussed in more detail.
引用
收藏
页码：239 / 250
页数：12
相关论文
共 50 条
  • [41] Noncommutative integrability on noncompact invariant manifolds
    Fiorani, E.
    Sardanashvily, G.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (45): : 14035 - 14042
  • [42] Matrix models for noncommutative algebraic manifolds
    Banica, Teodor
    Bichon, Julien
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 95 : 519 - 540
  • [43] Submanifolds and quotient manifolds in noncommutative geometry
    Masson, T
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (05) : 2484 - 2497
  • [44] Probability and geometry on some noncommutative manifolds
    Chakraborty, PS
    Goswami, D
    Sinha, KB
    JOURNAL OF OPERATOR THEORY, 2003, 49 (01) : 185 - 201
  • [45] Coherent states over Grassmann manifolds and the WKB exactness in path integral
    Fujii, K
    Kashiwa, T
    Sakoda, S
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (02) : 567 - 602
  • [46] Gauge theories on noncommutative Kahler manifolds
    Maeda, Yoshiaki
    Sako, Akifumi
    Suzuki, Toshiya
    Umetsu, Hiroshi
    7TH INTERNATIONAL WORKSHOP DICE2014 SPACETIME - MATTER - QUANTUM MECHANICS, 2015, 626
  • [47] A Connection for Product Manifolds in Noncommutative Geometry
    Pena, Javier Lopez
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
  • [48] An Extra Phase for Two-Mode Coherent States Displaced in Noncommutative Phase Space
    Yan Long
    Feng Xun-Li
    Zhang Zhi-Ming
    Liu Song-Hao
    CHINESE PHYSICS LETTERS, 2012, 29 (04)
  • [49] Charged hydrogenic problem in a magnetic field: Noncommutative translations, unitary transformations, and coherent states
    Dzyubenko, AB
    PHYSICAL REVIEW B, 2002, 65 (03): : 1 - 9
  • [50] Noncommutative gauge theory for Poisson manifolds
    Jurco, B
    Schupp, P
    Wess, J
    NUCLEAR PHYSICS B, 2000, 584 (03) : 784 - 794
12345