Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems

LUO Shao-kai

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LUO Shao-kai. Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(4): 414-422.

Citation:

LUO Shao-kai. Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(4): 414-422.

Citation:

LUO Shao-kai. Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(4): 414-422.

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Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems

LUO Shao-kai^1,2,3

1.
Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, P. R. China;
2.
Department of Applied Physics, Hunan University, Changsha 410082, P. R. China;
3.
Science College, Southern Yangtze University, Wuxi, Jiangsu 214063, P. R. China

Received Date: 2002-02-28
Rev Recd Date: 2003-01-10
Publish Date: 2003-04-15

Abstract

Abstract

A form invariance of the relativistic Birlchoffian system is studied,and the conserved quantities of the system are obtained. Under the infinitesimal transformation of groups, the definition and criteria of the form invariance of the system were given. In view of the invariance of relativistic Pfaff-Birkhoff-D'Alembert principle under the infinitesimal transformation of groups, the theory of Noether symmetries of the relativistic Birkhoffian system were consttvcted. The relation between the form invariance and the Noether symmetry is studied, and the results show that the form invariance can also lead to the Noether symmetrical conserved quantity of the relativistic Birlchoffian system under certain conditions.
- relativty,
- Birkhoffian suystem,
- Pfaff-Birkhoff-D’Alembert Alembet principle,
- form invariance,
- Noether symunetry,
- conserved quantity

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References(52)

References

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