Algebraic structure and Poisson integrals of a rotational relativistic Birkhoff system
Luo Shao-Kaiab, Chen Xiang-Wei (陈向炜)b, Guo Yong-Xin (郭永新)c
a Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China; b ; Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; c Department of Physics, Liaoning University, Shenyang 110036, China
Abstract We have studied the algebraic structure of the dynamical equations of a rotational relativistic Birkhoff system. It is proven that autonomous and semi-autonomous rotational relativistic Birkhoff equations possess consistent algebraic structure and Lie algebraic structure. In general, non-autonomous rotational relativistic Birkhoff equations possess no algebraic structure, but a type of special non-autonomous rotational relativistic Birkhoff equation possesses consistent algebraic structure and consistent Lie algebraic structure. Then, we obtain the Poisson integrals of the dynamical equations of the rotational relativistic Birkhoff system. Finally, we give an example to illustrate the application of the results.
Received: 01 November 2001
Revised: 26 December 2001
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19972010), and by the Natural Science Foundation of Henan Province, China (Grant Nos 998040080, 984053100 and 934060800) and by the Natural Science Foundation of Liaoning Province, China (Grant Nos 990111004 and 20021004).
Cite this article:
Luo Shao-Kai (罗绍凯), Chen Xiang-Wei (陈向炜), Guo Yong-Xin (郭永新) Algebraic structure and Poisson integrals of a rotational relativistic Birkhoff system 2002 Chinese Physics 11 523
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