ERMAKOV SYSTEMS - A GROUP THEORETIC APPROACH

被引：19
|
作者：
GOVINDER, KS
LEACH, PGL
机构：
[1] Department of Mathematics and Applied Mathematics, University of Natal, Durban
来源：
PHYSICS LETTERS A | 1994年 / 186卷 / 5-6期
关键词：
D O I：
10.1016/0375-9601(94)90700-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recently Leach [Phys. Lett. A 158 (1991) 102] reported that Ermakov systems have the Lie algebra sl(2, R). Leach also reported the Lie algebra of the Ermakov-Lewis invariant to be sl(2, R). This is misleading and we complete his results. We also determine the general equation invariant under this new symmtery. Finally we find all (four) first integrals for Hamiltonian Ermakov systems.
引用
收藏
页码：391 / 395
页数：5
相关论文
共 50 条
  • [41] Note on invariants for uncoupled Ermakov systems
    Thylwe, KE
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (19): : 4359 - 4362
  • [42] On the Lie Symmetries of Kepler—Ermakov Systems
    Ayşe Karasu(Kalkanli)
    Hasan Yildirim
    Journal of Nonlinear Mathematical Physics, 2002, 9 : 475 - 482
  • [43] Fuzzy theoretic approach to signals and systems: Static systems
    Kumar, Mohit
    Mao, Yihua
    Wang, Yuhao
    Qiu, Taorong
    Yang Chenggen
    Zhang, Weiping
    INFORMATION SCIENCES, 2017, 418 : 668 - 702
  • [44] Group Theoretic Approach towards the Balaban Index of Catacondensed Benzenoid Systems and Linear Chain of Anthracene
    Yaseen, Muhammad
    Alkahtani, Badr S.
    Min, Hong
    Anjum, Mohd
    SYMMETRY-BASEL, 2024, 16 (08):
  • [45] Generalized Hamiltonian structures for Ermakov systems
    Haas, F
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (12): : 2925 - 2935
  • [46] On Modulated NLS-Ermakov Systems
    Rogers, Colin
    Chow, Kwok
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2017, 24 : 61 - 74
  • [47] GROUP THEORETIC APPROACH TO SPHERICAL ANHARMONIC-OSCILLATOR
    GHOSH, B
    ROYCHOUDHURY, RK
    LECTURE NOTES IN PHYSICS, 1984, 201 : 337 - 339
  • [48] GROUP-THEORETIC APPROACH TO RELATIVISTIC THEORY OF SCATTERING
    ROFFMAN, EH
    PHYSICAL REVIEW, 1968, 167 (05): : 1424 - &
  • [49] Form invariance for Hamiltonian Ermakov systems
    Lou, ZM
    ACTA PHYSICA SINICA, 2005, 54 (05) : 1969 - 1971
  • [50] A group theoretic approach to model comparison with simplicial representations
    Sean T. Vittadello
    Michael P. H. Stumpf
    Journal of Mathematical Biology, 2022, 85
12345