Generalized symmetries generating Noether currents and canonical conserved quantities

被引:3
|
作者
Palese, Marcella [1 ]
Winterroth, Ekkehart [1 ]
机构
[1] Univ Turin, Dept Math, Via CA Lberto 10, I-10124 Turin, Italy
关键词
jet bundle; generalized symmetry; Noether current; conserved quantity; cohomology; LOCAL VARIATIONAL-PROBLEMS;
D O I
10.1088/1742-6596/563/1/012023
中图分类号
O59 [应用物理学];
学科分类号
摘要
We determine the condition for a Noether-Bessel-Hagen current, associated with a generalized symmetry, to be variationally equivalent to a Noether current for an invariant Lagrangian. We show that, if it exists, this Noether current is exact on-shell and generates a canonical conserved quantity.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Lie symmetries and non-Noether conserved quantities for Hamiltonian canonical equations
    Fu, JL
    Chen, LQ
    Xie, FP
    CHINESE PHYSICS, 2004, 13 (10): : 1611 - 1614
  • [2] Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems
    Dong Wen-Shan
    Huang Bao-Xin
    ACTA PHYSICA SINICA, 2010, 59 (01) : 1 - 6
  • [3] Noether symmetries and conserved quantities for fractional Birkhoffian systems
    Zhang, Yi
    Zhai, Xiang-Hua
    NONLINEAR DYNAMICS, 2015, 81 (1-2) : 469 - 480
  • [4] Noether symmetries and conserved quantities for fractional Birkhoffian systems
    Yi Zhang
    Xiang-Hua Zhai
    Nonlinear Dynamics, 2015, 81 : 469 - 480
  • [5] Noether symmetries and conserved quantities for spaces with a section of zero curvature
    Feroze, Tooba
    Hussain, Ibrar
    JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (03) : 658 - 662
  • [6] Noether symmetries and conserved quantities for Birkhoffian systems with time delay
    Zhai, Xiang-Hua
    Zhang, Yi
    NONLINEAR DYNAMICS, 2014, 77 (1-2) : 73 - 86
  • [7] Noether symmetries and conserved quantities for Birkhoffian systems with time delay
    Xiang-Hua Zhai
    Yi Zhang
    Nonlinear Dynamics, 2014, 77 : 73 - 86
  • [8] NOETHER SYMMETRIES AND CONSERVED QUANTITIES OF WALL CLIMBING ROBOT SYSTEM
    Fu, Jingli
    Lu, Xiaodan
    Xiang, Chun
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2022, 54 (06): : 1680 - 1693
  • [9] Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system
    Zhang, Y
    Mei, FX
    ACTA PHYSICA SINICA, 2004, 53 (08) : 2419 - 2423
  • [10] Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
    Jia, Qiuli
    Wu, Huibin
    Mei, Fengxiang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (02) : 782 - 795