THE NONLINEAR STRUCTURE ON THE GENERAL QUANTUM HYPERPLANES - THE QUANTUM HYPERSURFACES AND THE NONLINEAR REALIZATIONS OF THE QUANTUM GROUPS

被引：4
|
作者：
ZHONG, ZZ
机构：
来源：
MODERN PHYSICS LETTERS A | 1994年 / 9卷 / 25期
关键词：
D O I：
10.1142/S0217732394002185
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper we prove that by the use of an extended algebra the nonlinear transformations of the general quantum hyperplanes can be obtained. The images of this transformation and its linear part, which are two quantum hyperspaces, can be interpreted as a quantum hypersurface and its quantum tangent hyperplane, respectively. The quantum group concerned is nonlinearly realized on this quantum hypersurface. The concrete results of GL(q)(N), as an example, are calculated.
引用
收藏
页码：2315 / 2323
页数：9
相关论文
共 50 条
  • [1] Nonlinear supersymmetric quantum mechanics: concepts and realizations
    Andrianov, A. A.
    Ioffe, M. V.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (50)
  • [2] On nonlinear Lie algebras and differential realizations in quantum theory
    Beckers, J
    GROUP 22: PROCEEDINGS OF THE XII INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS, 1998, : 392 - 396
  • [3] Diffeomorphism Groups and Nonlinear Quantum Mechanics
    Goldin, Gerald A.
    7TH INTERNATIONAL CONFERENCE ON QUANTUM THEORY AND SYMMETRIES (QTS7), 2012, 343
  • [4] On the super-conformal quantum mechanics in the nonlinear realizations approach
    Akulov, VP
    Cebecioglu, O
    Pashnev, A
    PHYSICS LETTERS B, 2003, 562 (1-2) : 132 - 140
  • [5] ON A GENERAL CHARACTERIZATION OF NONLINEAR QUANTUM DYNAMIC MAPS
    ALICKI, R
    MAJEWSKI, WA
    PHYSICS LETTERS A, 1990, 148 (1-2) : 69 - 71
  • [6] General formulation for quantum macroscopic nonlinear optics
    Jiang, Shifeng
    Gallion, Philippe
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2009, 26 (05) : 902 - 909
  • [7] A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials
    Riccardo Adami
    Reika Fukuizumi
    Etsuo Segawa
    Quantum Information Processing, 2019, 18
  • [8] A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials
    Adami, Riccardo
    Fukuizumi, Reika
    Segawa, Etsuo
    QUANTUM INFORMATION PROCESSING, 2019, 18 (04)
  • [9] QUANTUM STOCHASTIC CALCULUS AND QUANTUM NONLINEAR FILTERING
    BELAVKIN, VP
    JOURNAL OF MULTIVARIATE ANALYSIS, 1992, 42 (02) : 171 - 201
  • [10] Quantum state engineering by nonlinear quantum interference
    Cui, Liang
    Su, Jie
    Li, Jiamin
    Liu, Yuhong
    Li, Xiaoying
    Ou, Z. Y.
    PHYSICAL REVIEW A, 2020, 102 (03)
12345