哈密顿正则方程

用拉格朗日方程解决，思路清晰，是一个二阶常微分方程组；而哈密顿正则方程则是一个一阶常微分方程组，形式简单，使用方便。

Solving with the Lagrange Equation , the mentality is clear , is two steps ordinary differential equation , but the Hamilton Canonical Equation is a step ordinary differential equation , the form is simple and easy to operat .

各向异性弹性力学问题Hamilton正则方程的一般形式相空间和哈密顿正则方程在统计力学中的应用

The application of phase space and Hamilton Canonical Equation in statistical mechanics

弹性力学中哈密顿正则方程的可分型及其有限元法

A separable Hamiltonian system in elasticity and its finite element method

然后，结合具体问题，以旋转梁、旋转板为算例，给出具体的哈密顿正则方程。

Secondly , considering concrete problems , it obtains actual Hamilton canonical equations of rotating beam and rotating board .

运用经典的哈密顿正则方程，建立了冲击式压实机的参数化动力学模型。

The parameterized dynamic model of the impact compactor is made based on the classical Hamilton 's canonical equations .

本文笔者用两种不同思路由分析力学的相空间概念和哈密顿正则方程推导了统计力学的基本方程&刘维定理。

In this paper , the author deduces the basic equation of statistical Mechanics-Liouville Theorem in two different ways from analytical mechanics ′ concepts of phase space and the Hamilton Canonical Equation .

运用经典理论方法，并采用辛算法数值求解了双色激光场作用下1维共线氢分子离子（H2+）的哈密顿正则方程，得到了氢分子离子在激光场下的经典轨迹。

The dynamics of a one-dimensional hydrogen molecule ion ( H_2 ~ + ) in two-color intense laser field was studied . The classical trajectories were obtained by solving numerically the classical Hamiltonian equations .

建立了非保守约束哈密顿系统的正则方程，在增广相空间中研究了系统的对称性与精确不变量。

Firstly , the canonical equations of nonconservative constrained Hamiltonian systems are established , and the symmetries and exact invariants of the systems in the extended phase space are studied .