Open AccessSTUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS
Author(s) -
Jing-Li Fu,
Liqun Chen,
Luo Shao-Kai,
Xiangwei Chen,
Wang Xin-Min
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.2289
Subject(s) - dynamics (music) , relativistic dynamics , relativistic quantum chemistry , physics , classical mechanics , computer science , quantum mechanics , acoustics
The Birkhoffian, the Birkhoff's functions, the Pfaff action, the Pfaff-Birkhoff principle and the Birkhoff equations of relativistic Birkhoff systems are given. The Birkhoff representation of relativistic dynamical systems is studied. Then the theory of Noether symmetries and Lie symmetries of the relativistic Birkhoff systems is obtained by the invariance of relativistic Pfaff action and relativistic Birkhoff equations under infinitesimal transformations. Finally the algebraic structure and Poisson integrals for the relativistic Birkhoff systems are studied.