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Analysis of tube-in-tube structure of variable cross-section in torsion;2. By assuming the structure to be continuous,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structure s,in which the shears and flexures of the inter and the outer tubes are considered as Timoshenko beams.

在结构连续化假定的基础上，将内筒和外筒视为铁摩辛柯梁，同时考虑内筒和外筒的剪切与弯曲变形，建立了筒中筒结构协同分析的哈密顿对偶体系，导出了相应的状态空间方程，其系统矩阵具有辛矩阵的特性，可用精细积分法求该体系的高精度数值解。

The simulation results demonstrate that, within the physical ranges of the model parameters, the correlation functions of hole hoppings giving rise to closed current flow patterns in the circulating current phases are larger by one order of magnitude than those of hole hoppings corresponding to open current flows.

模拟结果表明，在适当的Hamiltonian量参数范围内，对应于闭合回路算符的关联函数在相同距离上比其他所有算符对应的关联函数大一个数量级，因此证明了在三带Hubbard模型中存在环形电流相。

Also we have estimated that when the order of experi- mental resolution reaches to 10-14,we will have to use state evolution matrix to describe the neutral kaon system and can not use the effective Hamiltonian theory.

这样的理论是否可靠，它究竟准确到什么程度，一直是人们关心的问题。文献中不断有文章进行讨论［'。大致说来，可以把对传统有效哈密顿量理论的修正分为两类。

neutral kaon system, effective Hamiltonian theory, state evolution matrix, CP and CPT violation parameter

一类仍采用有效哈密顿量描述体系，但有效哈密顿量不再只准到弱作用二阶，而是包括了高阶修正项。

Finally, in accordance with the parallel structures of the computations on train dynamics, an optimal interconnected architecture, namely Hamiltonian-Circuit-ConnectedTernary-Tree , is presented for transputer multiprocessor system, which includes the architectures of both Averaged-and-Balanced-Ternary-Tree and ring under the condition that connection degree is less than or equal to 3 for root node and less than or equal to 4 for other nodes.

最后，针对列车动力学计算的并行结构，提出Transputer多机系统的一种最佳的静态互连结构——Hamilton回路连接三元树，该结构在根节点的度和其它节点的度的前提下同时兼备了均衡三元树和环两种结构。

Starting from RTT re-lations the integrable Hanfiltonian of thc q-deformation Goryachev-Chaplygin quan-tum top is established,which can reduce to the Hamiltonian of Hubbard model byusing multi-fermion realization of SUq(2)algebra and mean-field approximation.

从RTT关系式出发，我们建立了一个可积的哈密顿量，就是q-形变的Goryachev-Chaplygin量子陀螺，通过SUq(2)代数的多费米子实现和平均场近似，此量子陀螺可以和凝聚态理论中的Hubbard模型联系起来。

In the following, we quantize the supersymmetric anyon system according to the rule of path integral quantization for constrained Hamiltonian system in Faddeev-Senjanovic scheme. We calculate the quantal conserved angular momentum based on the quantal canonical Noether theorem, and present the fractional spin property at the quantum level.

根据约束系统的Faddeev-Senjanovic路径积分量子化方法，我们对超对称任意子系统进行了量子化；根据经典Noether定理，得到了系统的守恒角动量；用量子正则Noether定理讨论了量子守恒角动量，我们发现了系统具有分数自旋性质。

It is then proved that every equation in the hierarchy possesses the Hamiltonian structure if L has a skew-symmetric factorization and the first equation in the hierarchy satisfies some simple condition (K〓=θf〓 and f〓 is a gradient function).

然后在L具有反对称分解L=θJ，及等谱发展方程族中第一个方程满足简单条件（K〓=θf〓，f〓一个梯度函数）的假设下，获得了整个方程族的Hamilton结构。

We discuss a class of second order self-adjoint matrix differential systems with damping term and self-adjoint Hamiltonian matrix differential systems, etc.

在第五、六章中，考虑一类线性泛函g和一类对s偏导数不一定非正的Hk型函数，分别研究了自伴的带有阻尼项的二阶矩阵微分系统和自共轭的Hamilton矩阵微分系统。

When the electron interaction, as present in the PPP Hamiltonian, is included even at the level of mean field approximation, the accidental degeneracies in the energy bands of CNTs satisfying the condition, mod(m-n, 3)=0, are removed completely except armchair CNTs.

如果将电子作用力纳入考量，即使只用平均场近似，在奈米碳管能带中满足mod(m-n，3)=0之偶然简并将会消失，唯有扶手型奈米碳管得以豁免。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。