Regular representations of theR-deformed Heisenberg algebra

被引：0
|
作者：
Yu. S. Vernov
M. N. Mnatsakanova
机构：
[1] Institute for Nuclear Research,Research Institute for Nuclear Physics
[2] RAS,undefined
[3] Moscow State University,undefined
来源：
Theoretical and Mathematical Physics | 2000年 / 125卷
关键词：
Hilbert Space; Irreducible Representation; Arbitrary Vector; Regular Representation; Heisenberg Algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe all the irreducible regular representations of the R-deformed Heisenberg algebra in an arbitrary nondegenerate and weakly closed space with an indefinite metric.
引用
收藏
页码：1531 / 1538
页数：7
相关论文
共 50 条
  • [41] Deformed Heisenberg algebra with reflection, anyons and supersymmetry of parabosons
    Plyushchay, MS
    SPIN-STATISTICS CONNECTION AND COMMUTATION RELATIONS: EXPERIMENTAL TESTS AND THEORETICAL IMPLICATIONS, 2000, 545 : 197 - 202
  • [42] The quantum harmonic oscillator on a circle and a deformed Heisenberg algebra
    M.A. Rego-Monteiro
    The European Physical Journal C - Particles and Fields, 2001, 21 : 749 - 756
  • [43] The quantum harmonic oscillator on a circle and a deformed Heisenberg algebra
    Rego-Monteiro, MA
    EUROPEAN PHYSICAL JOURNAL C, 2001, 21 (04): : 749 - 756
  • [44] COHERENT STATE OF α-DEFORMED WEYL-HEISENBERG ALGEBRA
    Dehdashti, Sh.
    Mahdifar, A.
    Roknizadeh, R.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (05)
  • [45] The qs-Hermite polynomial and the representations of Heisenberg and quantum Heisenberg algebra
    Guan, XW
    Tong, DM
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1997, 27 (02) : 173 - 178
  • [46] NCG q-Deformed Weyl-Heisenberg Algebra
    Harrat, M.
    Mebarki, N.
    Salah, A. Redouane
    8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011), 2012, 1444 : 469 - 471
  • [47] Biderivations of q-deformed Heisenberg-Virasoro algebra
    Yuan, Lamei
    Li, Jiaxin
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (09) : 3651 - 3663
  • [48] Deformed Heisenberg algebra with reflection and d-orthogonal polynomials
    Riyadh, Fethi Bouzeffour
    Ben Mansour, Hanen
    Zaghouani, Ali
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (01) : 57 - 71
  • [49] Deformed Weyl-Heisenberg algebra and quantum decoherence effect
    Dehdashti, Sh
    Harouni, M. Bagheri
    Mahdifar, A.
    Roknizadeh, R.
    LASER PHYSICS, 2014, 24 (05)
  • [50] DEFORMED HEISENBERG ALGEBRA IN THE THEORY OF LIQUID He-4
    Vakarchuk, I. O.
    UKRAINIAN JOURNAL OF PHYSICS, 2010, 55 (01): : 36 - 43
12345