2004•Acta Physica SinicaOpen access

Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system

Yi Zhang, Mei Feng-Xiang, (1)北京理工大学理学院，北京 100081; (2)苏州科技学院土木工程系，苏州 215011

Abstract

摘要研究约束对Birkhoff系统的Noether对称性和守恒量的影响．首先，建立了Birkhoff系统的运动微分方程．其次，给出了系统Noether对称性的判据．然后，讨论了受约束作用后，Birkhoff系统的Noether对称性发生的变化，并给出了系统的Noether对称性以及守恒量保持不变的条件．最后，举例说明结果的应用．关键词: 分析力学 / Birkhoff系统 / 约束 / Noether对称性 / 守恒量 Abstract Keywords: / / / / 作者及机构信息张毅2, 梅凤翔1 (1)北京理工大学理学院，北京 100081; (2)苏州科技学院土木工程系，苏州 215011 基金项目: 国家自然科学基金（批准号：10272021）及江苏省“青蓝”工程基金资助的课题. Authors and contacts Zhang Yi2, Mei Feng-Xiang1 (1)北京理工大学理学院，北京 100081; (2)苏州科技学院土木工程系，苏州 215011 参考文献施引文献

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Key concepts: Noether's theorem, Homogeneous space, Mathematical physics, Conserved quantity, Physics, Conserved current, Lagrangian, Mathematics