哈密顿函数

然后，利用PCH系统的能量成形和反馈镇定原理，给出了闭环系统期望的哈密顿函数，配置了互联和阻尼矩阵，设计了控制器，并分析了平衡点的稳定性。

Then , using the energy shaping and feedback stabilization theory of PCH system , the desired Hamiltonian function of closed-loop system is given . The interconnection and damping matrix are assigned , and the controller is designed . The equilibrium stability of the system is also analyzed .

对于非线性阻尼振子的能量最优控制问题，本文采用庞特里亚金最大值原理来求解：引入伴随变量，得出哈密顿函数，通过正则摄动理论得到待求的控制函数和振予的运动规律。

Pontryagin maximum principle is adopted to solve as follows : introduce " adjoint " variables to obtain Hamiltonian function , then find required control function and motion equation of the oscillator by canonical perturbation theory .

经典哈密顿函数H向量子力学算符■过渡的研究

The Research of Transition from Classical Hamiltonian H to Quantum Mechanics Operator ■

给出该模型下以（x，z）为正则坐标的哈密顿函数表达式；

A Hamiltonian with canonical coordinate ( x , z ) for the field line is given ;

利用作者给出的α螺旋蛋白质分子体系哈密顿函数及能级结构，从理论上给出了该体系Raman谱的选择定则及合理的解释。

In this paper , the choosing regulation of the Raman spectrum of α helical protein molecules is advanced on the basis of the Hamiltonian presented .

GLV系统的几类哈密顿函数和运动不变量

Hamiltonian Functions and Constants of Motion for GLV Systems

由哈密顿函数法就可进行解析射线追踪和傍轴射线追踪。

Tracing and paraxial ray tracing are performed analytically by a Hamiltonian formalism .

根据拉格朗日函数和哈密顿函数分析了产生电荷密度调制的关键因素，电子与声子的耦合以及磁场是产生电荷密度调制状态的关键因素。

Electron-phonon interactions and magnetic field were main factors producing charge density modulation .

带电粒子在电场中运动的哈密顿函数

Hamiltonian Functions of Charged Particles in Electric Field

反向场位形下的引导中心哈密顿函数

Guiding center Hamiltonian in reversed field configuration

分子的哈密顿函数麻烦得足以使任何一个量子化学家心惊胆战。

The molecular Hamiltonian is formidable enough to strike terror into the heart of any quantum chemist .

小磁场注向分量对引导中心哈密顿函数的贡献由李变换方法求取。

The contribution of a small normal magnetic component to the Hamiltonian is given by the method of Lie transformation .

根据我们所提出的在氢键系统中的新哈密顿函数，并且使用完整的量子力学方法，本文得到了该系统中激发的质子孤立子的动力学方程组。

Dynamic equations for the proton solitons excited in the hydrogen bonded systems have been obtained by using completely quantum-mechanical method from our Hamiltonian .

写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。

The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator , and its solution is obtained by the separation of variables .

为实现舰船姿态角控制效果的最优化，将四元数算法和最优控制理论有机的结合，构造哈密顿函数，得出了适用于舰船姿态角控制的数学模型。

Ion : To realize the optimal control of ships guise-angle , Integrating the quaternion arithmetic with the theory of optimal control and deriving Hamilton function , a mathematic model is obtained , which is applicable to the control of ship 's guise-angle .

任意哈密顿算符传播函数WKB近似的普遍形式

The General Expansion of WKB Approximation method to the Propagator for Arbitrary Hamiltonians

根据电子光学正则理论，在旋转对称系统中，将哈密顿表象的光程函数进行广义积分变换，得出只含有位置而不存在动量的简正形式光程函数。

Based on canonical aberration theory , a generalized integration transformation has been performed on Hamiltonian eikonals , electron optical aberrations has thus been derived for up to the ninth order approximation in rotationally symmetric magnetic and electrostatic lenses .