经典Hamilton动力学与李群代数
Classical Hamiltonian Dynamics and Lie Group Algebras
摘要：
经典的哈密顿运动方程产生了一个足够一般的结构来处理几乎任意的常微分方程组。利用初等代数方法，可以在哈密顿结构中描述许多具有李群对称性的物理系统。基本的例子包括磁矩进动和经典非阿贝尔色动力学中有色带电粒子的机械轨道。
英文摘要：
The classical Hamilton equations of motion yield a structure sufficiently general to handle an almost arbitrary set of ordinary differential equations. Employing elementary algebraic methods, it is possible within the Hamiltonian structure to describe many physical systems exhibiting Lie group symmetries. Elementary examples include magnetic moment precession and the mechanical orbits of color charged particles in classical non-abelian chromodynamics.
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