| 相对论转动变质量系统的Lie对称性与守恒量 |
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| 引用本文： | 郭冠平.相对论转动变质量系统的Lie对称性与守恒量[J].浙江师范大学学报(自然科学版),2001,24(1):11-15. |
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| 作者姓名： | 郭冠平 |
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| 作者单位： | 浙江师范大学 教育科学与技术学院, |
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| 摘 要： | 研究了相对论转动变质量系统的Lie对称性与守恒量，首先利用微分方程在无限小群变换下的不变性建立了系统的Lie对称性的确定方程，给出了结构方程与守恒量；其次研究了系统的Lie对称性逆问题。
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| 关 键 词： | 相对论 Lie对称性 守恒量 转动变质量系统 无限小群变换 Lie对称性逆问题 |
| 文章编号： | 1001-5051-(2001)01-0011-05 |
| 修稿时间： | 2000年7月17日 |
Lie symmetries and conserved quantities of relativistic
rotational variable mass system |
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| GUO Guan-ping.Lie symmetries and conserved quantities of relativistic
rotational variable mass system[J].Journal of Zhejiang Normal University Natural Sciences,2001,24(1):11-15. |
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| Authors: | GUO Guan-ping |
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| Abstract: | Lie symmetries and conserved quantities of relativistic rotational variable mass system have been studied.It established the determining equations and the restriction equations of the Lie symmetries of the systems and gave the structure equation and the conserved quantities,which were using the invariance of the ordinary differential equations under the infinitesimal transformations;It also studied the inverse problem of Lie symmetries of the systems. |
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| Keywords: | relativity Lie symmetry conserved quantity rotational variable mass system |
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