LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

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

LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

傅景礼, 陈向炜, 罗绍凯

Research Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, P. R. China

收稿日期:1998-08-06 修回日期:2000-01-10 出版日期:2000-05-18 发布日期:2000-05-18
基金资助:
the National Natural Science Foundation of China (19972010);Natural Science Foundation of Henan Province (934060800, 984053100)

LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

Fu Jingli, Chen Xiangwei, Luo Shaokai

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)

摘要/Abstract

摘要：

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.

中图分类号:

O316
O410

傅景礼;陈向炜;罗绍凯. LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 549-556.

Fu Jingli;Chen Xiangwei;Luo Shaokai. LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 549-556.

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LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS

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