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Lagrange系统的共形不变性与Hojman守恒量
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学] O174.51[理学—数学;理学—基础数学]
  • 作者机构：[1]辽宁大学物理学院,沈阳110036, [2]北京理工大学理学院力学系,北京100081
  • 相关基金：国家自然科学基金（批准号：10472040,10572021,10772025）和辽宁省杰出青年培养基金（批准号：3040005）资助的课题.
作者： 刘畅[1,2], 梅凤翔[2], 郭永新[1]
关键词： Lagrange系统, 共形不变性, Hojman守恒量, 确定方程, Lagrange systems,conformal invariance,Hojman conserved quantities,determining equations
中文摘要：

研究了一般完整Lagrange系统在无限小变换下的共形不变性,推导出共形不变性的确定方程,并且找到在特殊无限小变换下的共形不变性并且是Lie对称性的共形因子,接下来导出Lagrange系统的运动微分方程共形不变时的Hojman守恒量,并给出应用算例.

英文摘要：

In this paper the conformal invariance under special infinitesimal transformations of Lagrange systems is studied.The necessary and sufficient conditions for the conformal invariance under infinitesimal transformations which is Lie symmetric at the same time are given.Finally we get the Hojman conserved quantities of the conformal invariance.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876