中国物理B ›› 2002, Vol. 11 ›› Issue (5): 429-436.doi: 10.1088/1009-1963/11/5/304

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Theory of symmetry for a rotational relativistic Birkhoff system

郭永新1, 罗绍凯2, 陈向炜3   

  1. (1)Department of Physics, Liaoning University, Shenyang 110036, China; (2)Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China; Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; (3)Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China
  • 收稿日期:2001-12-03 修回日期:2001-12-23 出版日期:2002-05-13 发布日期:2005-06-13
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant No 19972010), the Natural Science Foundation of Henan Province, China(Grant Nos 998040080, 984053100 and 934060800), and the Natural Science Foundation of Liaoning Province, China

Theory of symmetry for a rotational relativistic Birkhoff system

Luo Shao-Kai (罗绍凯)ab, Chen Xiang-Wei (陈向炜)b, Guo Yong-Xin (郭永新)c    

  1. 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
  • Received:2001-12-03 Revised:2001-12-23 Online:2002-05-13 Published:2005-06-13
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant No 19972010), the Natural Science Foundation of Henan Province, China(Grant Nos 998040080, 984053100 and 934060800), and the Natural Science Foundation of Liaoning Province, China

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摘要： The theory of symmetry for a rotational relativistic Birkhoff system is studied. In terms of the invariance of the rotational relativistic Pfaff－Birkhoff－D'Alembert principle under infinitesimal transformations, the Noether symmetries and conserved quantities of a rotational relativistic Birkhoff system are given. In terms of the invariance of rotational relativistic Birkhoff equations under infinitesimal transformations, the Lie symmetries and conserved quantities of the rotational relativistic Birkhoff system are given.

Abstract: The theory of symmetry for a rotational relativistic Birkhoff system is studied. In terms of the invariance of the rotational relativistic Pfaff－Birkhoff－D'Alembert principle under infinitesimal transformations, the Noether symmetries and conserved quantities of a rotational relativistic Birkhoff system are given. In terms of the invariance of rotational relativistic Birkhoff equations under infinitesimal transformations, the Lie symmetries and conserved quantities of the rotational relativistic Birkhoff system are given.

Key words: rotational relativity, Birkhoff system, Noether symmetry, Lie symmetry

中图分类号:  (Integral transforms)

  • 02.30.Uu
02.30.Zz (Inverse problems) 03.30.+p (Special relativity) 02.20.Sv (Lie algebras of Lie groups)