本文主要讨论哈密顿体系理论在弹性力学中的具体应用。
In this paper, the application of Hamiltonian systematic theory in plate bending problem is studied.
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.
结果再次表明经典力学中的弹性楔佯谬解对应的是哈密顿体系下辛几何的约当型解。
It shows further that solution of the special paradox in classical elasticity is just Jordan canonical form solutions in symplectic space under Hamiltonian system.
通过引入对偶变量，将平面正交各向异性问题导入哈密顿体系，实现从欧几里德几何空间向辛几何空间的转换。
Based on the dual variables, the Hamiltonian system theory is introduced into plane orthotropy elasticity, the transformation from Euclidian space to symplectic space is realized.
算例研究了四边固支薄板的自由振动情形，从而推广了哈密顿体系的应用范围，验证了哈密顿体系求解方法在自由振动问题中的有效性。
The computational example of a quadrilateral rectangular plate bending was given, which demonstrated the effectiveness of the proposed method, thus extending the application of Hamilton system.
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.
首次将团体理论中的LLP变换用于处理两能级原子与驻波场相互作用体系的全量子哈密顿量。
The Hamiltonian solution of two-level atoms interaction with sounding lightwave field is given by using a new method of LLP transformation in solid state physics.
从玻色子体系最一般的哈密顿量出发，揭示了它所可能具有的动力学对称性，并与ibm—1,2进行了比较。
Starting from the general Hamiltonian of boson system the dynamical symmetry, which the boson system may have, has been given. The results were compared with ibm-1, 2.
另一个问题是约束体系的量子哈密顿中涉及到的算符次序问题。
The other is the operator ordering problem in quantum harniton of constrained systems.
在旋转波近似下，得到在入射光驱动下光子-声子耦合体系的总的相干性哈密顿算符。
Under rotating wave approximation, the total coherent Hamiltonian of photon-phonon coupling system driven by incident field is introduced.
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.
负电荷激子是三个带电粒子的体系，构成本征函数的基矢数以及哈密顿矩阵元都极大，数值计算艰浩。
A negatively charged exciton is a system of three charged objects, making the numerical computations difficult due to the large size of the basic vector set and the Hamiltonian matrix.
有效哈密顿量对详细研究一个相互作用体系的动力学特性是非常重要的。
One effective Hamiltonian is helpful for us to study the dynamical properties of one interaction system.
有效哈密顿量对详细研究一个相互作用体系的动力学特性是非常重要的。
One effective Hamiltonian is helpful for us to study the dynamical properties of one interaction system.
应用推荐