Construction of exact invariants for classical dynamical systems in three dimensions

被引:19
|
作者
Kaushal, RS [1 ]
Parashar, D [1 ]
Gupta, S [1 ]
Mishra, SC [1 ]
机构
[1] KURUKSHETRA UNIV,DEPT PHYS,KURUKSHETRA 132119,HARYANA,INDIA
关键词
D O I
10.1006/aphy.1997.5713
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Attempts are made to construct exact invariants for a variety of time-dependent classical dynamical systems in three dimensions. We make use of the dynamical algebraic method for this purpose and explore several new systems admitting the invariants. In particular, systems involving both momentum and time dependences in two and three dimensions are investigated within this framework. With reference to the time-dependent case in three dimensions some further generalizations of Ermakov systems are discussed. (C) 1997 Academic Press.
引用
收藏
页码:233 / 252
页数:20
相关论文
共 50 条
  • [31] The invariants of algebraic varieties with three dimensions.
    Rosenblatt, A
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1913, 157 : 1514 - 1516
  • [32] Local Dimensions and Quantization Dimensions in Dynamical Systems
    Mrinal Kanti Roychowdhury
    Bilel Selmi
    The Journal of Geometric Analysis, 2021, 31 : 6387 - 6409
  • [33] Local Dimensions and Quantization Dimensions in Dynamical Systems
    Roychowdhury, Mrinal Kanti
    Selmi, Bilel
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (06) : 6387 - 6409
  • [34] Exact invariants and adiabatic invariants of constrained Hamiltonian systems in phase space
    Zhang, Y
    ACTA PHYSICA SINICA, 2002, 51 (11) : 2417 - 2422
  • [35] Exact invariants and adiabatic invariants of constrained Hamiltonian systems in phase space
    Zhang, Yi
    2002, Science Press (51):
  • [36] High-order adiabatic representations of quantum systems through a perturbative construction of dynamical invariants
    Nguyen-Dang, T. T.
    Sinelnikov, E.
    PHYSICAL REVIEW A, 2007, 76 (05):
  • [37] Criterion on the nonexistence of exact invariants in adiabatic systems
    Despina, Voyatzi
    Efi, Meletlidou
    RECENT ADVANCES IN ASTRONOMY AND ASTROPHYSICS, 2006, 848 : 753 - +
  • [38] Echoes in classical dynamical systems
    Eckhardt, B
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (02): : 371 - 380
  • [39] Dynamical decompactification and three large dimensions
    Greene, Brian
    Kabat, Daniel
    Marnerides, Stefanos
    PHYSICAL REVIEW D, 2010, 82 (04):
  • [40] Complementarity in classical dynamical systems
    Graben, Peter beim
    Atmanspacher, Harald
    FOUNDATIONS OF PHYSICS, 2006, 36 (02) : 291 - 306