| 转动变质量相对论系统的Lie对称性和守恒量 |
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| 引用本文： | 张宏彬.转动变质量相对论系统的Lie对称性和守恒量[J].安徽师范大学学报(自然科学版),2001,24(2):132-135. |
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| 作者姓名： | 张宏彬 |
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| 作者单位： | 巢湖师专物理系 |
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| 摘 要： | 研究转动变质量相对论系统的Lie对称性和守恒量，定义转动变质量相对论力学系统的无限小变换生成元，利用微分方在无限变换下的不变性，建立转动变质量相对论性力学系统的Lie对称确定方程，得到结构方程和守恒量的形式。
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| 关 键 词： | 转动变质量系统 相对论 完整系统 非完整系统 Lie对称 守恒量 |
| 文章编号： | 1001-2443(2001)02-0132-04 |
| 修稿时间： | 2000年12月25日 |
LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL VARIABLE MASS RELATIVISTIC SYSTEMS |
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| ZHANG Hong,bin.LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL VARIABLE MASS RELATIVISTIC SYSTEMS[J].Journal of Anhui Normal University(Natural Science Edition),2001,24(2):132-135. |
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| Authors: | ZHANG Hong bin |
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| Abstract: | The Lie symmetries and conserved quantities of the rotational variable mass relativistic system 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 variable mass relativistic mechanical system are established. The structure equations are the forms of conserved quantities and obtained. |
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| Keywords: | rotational variable mass system relativity holonomic system nonholonomic system Lie symmetry conserved quantily |
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