论文标题
规范方程的分析动力开发
Analytical Dynamics Development of the Canonical Equations
论文作者
论文摘要
通过Legendre的Lagendre转换或通过中央方程，构建哈密顿函数和汉密尔顿的规范方程是最常见的。但是，这些共同的观点似乎是抽象的，并且与经典的分析动力学相脱。提出了一种新的和不同的方法，其中创建了哈密顿功能，因为人们调查了d'Alembert的运动方程。这种表述将哈密顿函数和汉密尔顿的规范方程式与经典分析动力学的根源联系起来，而不是其他任何方法。
It is most common to construct the Hamiltonian function and Hamilton's canonical equations through a Legendre transformation of the Lagrangean function or through the central equation. These common perspectives, however, seem abstract and detached from classical analytical dynamics. A new and different approach is presented in which the Hamiltonian function is created as one investigates d'Alembert's equation of motion. This formulation directly ties the Hamiltonian function and Hamilton's canonical equations to the root of classical analytical dynamics more than any other approach.
