本文介绍了用辛显式格式计算一类哈密顿方程的理论及实例。
The paper introduces the theory and example counting a class of Hamilton equations by symplectic obvions schemes.
引入复变数哈密顿方程和薛定谔方程可以变换为相同的形式。
Applying complex variables, the usual forms of Hamilton equation and Schrodinger equation can be changed into a same form, etc.
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.
论文的第一章是基础理论，一开始是推导经典力学中的单个带电粒子在电磁场中的运动方程，分别从拉氏量和哈密顿量推导。
At the beginning of the first chapter the derivation from the Lagrange and Hamilton to the motion equation of a charged particle in magnetic fields in classic mechanics is presented.
从系统的哈密顿量出发，利用玻恩马尔可夫近似，推导出了原子的光学布洛赫方程。
From the Hamiltonian of the atomic system, making use of Born-Markoff approximation, the optical Bloch equations are derived.
本文应用哈密顿变分原理较简捷地建立了厚梁横向振动的微分方程。
The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle.
基于一阶剪切变形理论和哈密顿原理，建立了旋转层合圆板动力学运动方程和相应的边界条件。
Based on the first order shear deformation theory and Hamiltonian principle, the governing equations and boundary conditions of rotating multi-layer annular plate were derived.
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.
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.
所以我们把这一哈密顿量变换到瞬时形式下总角动量表象中，并仔细分析所得到的介子径向本征方程的物理内涵。
So we transform it to total angular momentum representation in instant form and explore the physical contents of the meson radial eigen equations.
我们提出了用耦合簇运动方程方法并结合半经验哈密顿参数来计算大分子体系的多光子吸收截面。
We propose the coupled-cluster equation of motion method coupled with semiempirical Hamiltonian to calculate the multi-photon absorption cross-section for complex molecular systems.
应用哈密顿原理，推导出均匀杆的纵振动方程与横振动方程。
The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。
The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.
利用哈密顿原理推导出压电结构的变分方程，建立了智能结构的有限元动力方程。
Hamilton's principle is used to derive the equation of piezoelectric thin films and the dynamic finite element equations of intelligent structures.
最后本文以准振型为广义座标，以哈密顿原理为手段，得出了频率计算的近似方程。
Also an approach formula for frequency calculation is obtained by taking the quasi-vibrational mode as a generalized coordinate and by virtue of the Hamilton's principle.
该哈密顿量所对应的光前形式下的介子本征方程是在螺旋度-动量表象下表述的，不便于得到介子总角动量信息。
The front form meson eigen equations are formulated in momentum-helicity representation which hinders its solution in total angular momentum representation.
根据弹性薄板自由振动问题的基本方程，把问题引入到哈密顿对偶体系中。
Based on the basic equations of free vibration of thin plate, the Hamilton canonical equations were obtained.
对于哈密顿体系的偏微分方程分离变量，导致哈密顿型微分方程及本征值问题。
Separation of variable method is applied to Hamilton system, which derives to the eigenproblem of Hamilton differential equations.
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.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
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