Lie Symmetries and Conserved Quantities for Super-Long Elastic Slender Rod  

作　　者：赵维加 翁玉权 傅景礼 

机构地区：[1]Department of Mathematics, Qingdao University, Qingdao 266071 [2]Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018 [3]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072

出　　处：《Chinese Physics Letters》2007年第10期2773-2776,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10672143 and 10472067, and the Natural Science Foundation of Henan Province under Grant No 0511022200.

摘　　要：DNA is a nucleic acid molecule with double-helical structures that are special symmetrical structures attracting great attention of numerous researchers. The super-long elastic slender rod, an important structural model of DNA and other long-train molecules, is a useful tool in analysing the symmetrical properties and the stabilities of DNA. We study the Lie symmetries of a super-long elastic slender rod by using the methods of infinitesimal transformation. Based on Kirchhoff＇s analogue, generalized Hamilton canonical equations are analysed. The infinitesimal transformations with respect to the radian coordinate, the generalized coordinate, and the quasimomentum of the model are introduced. The Lie symmetries and conserved quantities of the model are presented.DNA is a nucleic acid molecule with double-helical structures that are special symmetrical structures attracting great attention of numerous researchers. The super-long elastic slender rod, an important structural model of DNA and other long-train molecules, is a useful tool in analysing the symmetrical properties and the stabilities of DNA. We study the Lie symmetries of a super-long elastic slender rod by using the methods of infinitesimal transformation. Based on Kirchhoff＇s analogue, generalized Hamilton canonical equations are analysed. The infinitesimal transformations with respect to the radian coordinate, the generalized coordinate, and the quasimomentum of the model are introduced. The Lie symmetries and conserved quantities of the model are presented.

关 键 词：DYNAMICAL-SYSTEMS POINT-SYMMETRIES 

分 类 号：O561[理学—原子与分子物理]