Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 549-556.

• Articles • Previous Articles     Next Articles

LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

Fu Jingli, Chen Xiangwei, Luo Shaokai   

  1. Research Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, P. R. China
  • Received:1998-08-06 Revised:2000-01-10 Online:2000-05-18 Published:2000-05-18
  • Supported by:

    the National Natural Science Foundation of China (19972010);Natural Science Foundation of Henan Province (934060800, 984053100)

Abstract:

The Lie symmetries and conserved quantities of the rotational relativistic holonomic and nonholonomic systems were studied. By defining the infinitesimal transformations' generators and by using the invariance of the differential equations under the infinitesimal transformations, the determining equations of Lie symmetries for the rotational relativistic mechanical systems are established. The structure equations and the forms of conserved quantities are obtained. An example to illustrate the application of the results is given.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals