扬州职业大学学报
颺州職業大學學報
양주직업대학학보
JOURNAL OF YANGZHOU POLYTECHNIC COLLEGE
2005年
2期
36-46
,共11页
物理定律%可积系统Newton定理%Hamiltonian方程%孤立子%可积系统
物理定律%可積繫統Newton定理%Hamiltonian方程%孤立子%可積繫統
물리정률%가적계통Newton정리%Hamiltonian방정%고립자%가적계통
physical law%Newton's laws%Hamiltonian equations%solitons%integrable system
Newton定律是描述物体运动的基本定律,Hamiltonian方程则为运动的基本规律提供了另外一种表达. 由Hamiltonian方程发展而来的Hamiltonian可积系统是现代孤立子理论的重要组成部分. 本文是介绍从Newton运动定理到Hamiltonian可积系统的演化的系列文章的一部分, 文中证明了一个关于线性斜对称算子为广义Hamiltonian的一个充分和必要条件.
Newton定律是描述物體運動的基本定律,Hamiltonian方程則為運動的基本規律提供瞭另外一種錶達. 由Hamiltonian方程髮展而來的Hamiltonian可積繫統是現代孤立子理論的重要組成部分. 本文是介紹從Newton運動定理到Hamiltonian可積繫統的縯化的繫列文章的一部分, 文中證明瞭一箇關于線性斜對稱算子為廣義Hamiltonian的一箇充分和必要條件.
Newton정률시묘술물체운동적기본정률,Hamiltonian방정칙위운동적기본규률제공료령외일충표체. 유Hamiltonian방정발전이래적Hamiltonian가적계통시현대고립자이론적중요조성부분. 본문시개소종Newton운동정리도Hamiltonian가적계통적연화적계렬문장적일부분, 문중증명료일개관우선성사대칭산자위엄의Hamiltonian적일개충분화필요조건.
The Hamiltonian equation provides us an alternative description of the basic physical laws of motion, which is used to be described by Newton's law. The research on Hamiltonian integrable systems is one of the most important topics in the theory of solitons. This article is one of the series of papers regarding the evolution from Newton's law to Hamiltonian system. It demonstrates a necessary and sufficient condition for a linear skew-symmetric operator to be a generalized Hamiltonian. The article aims to provide the readers a good understanding of the development from Newton's laws of motion to integrable Hamiltonian systems and of the physical world.
