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事件空间中Birkhoff系统的Noether理论
  • 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] O171[理学—数学;理学—基础数学]
  • 作者机构：[1]苏州科技学院土木工程学院,苏州215011
  • 相关基金：国家自然科学基金（批准号：10572021）资助的课题
作者： 张毅[1]
关键词： 事件空间, BIRKHOFF系统, Pfaff作用量, Noether对称性, event space, Birkhoffian system, Pfaffian action, Noether symmetry
中文摘要：

研究事件空间中Birkhoff系统的Noether对称性与Noether守恒量.首先,建立了事件空间中Birkhoff系统的参数方程;其次,基于Pfaff作用量在无限小变换下的不变性,给出了事件空间中Birkhoff系统的Noether定理及其逆定理;最后,举例说明结果的应用.

英文摘要：

In this paper, the Noether symmetries and the Noether conserved quantities for Birkhoffian systems in the event space is studied. Firstly, the parametric equations for the Birkhoffian systems are established; secondly, the Noether＇s theorem and its inverse theorem for the systems are given, which are based upon the invariant properties of the Pfaffian action with respect to the action or the infinitesimal transformation; and finally, an examples is given to illustrate the application of the results.

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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