Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems

Fu Jingli; Chen Xiangwei; Luo Shaokai

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Fu Jingli, Chen Xiangwei, Luo Shaokai. Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems[J]. Applied Mathematics and Mechanics, 2000, 21(5): 495-500.

Citation:

Fu Jingli, Chen Xiangwei, Luo Shaokai. Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems[J]. Applied Mathematics and Mechanics, 2000, 21(5): 495-500.

Citation:

Fu Jingli, Chen Xiangwei, Luo Shaokai. Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems[J]. Applied Mathematics and Mechanics, 2000, 21(5): 495-500.

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Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems

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

Received Date: 1998-08-06
Rev Recd Date: 2000-01-01
Publish Date: 2000-05-15

Abstract

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 ralativistic 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.
- rotational systems,
- relativity,
- analytic mechanics,
- Lie symmetry,
- conserved quantity,
- differential equation

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References(15)

References

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