查询词典 Hamiltonian

Topics covered include oscillations, Keplerian orbits, two-body scattering, rotating frames of reference, rotation of rigid bodies in three dimensions, Lagrangian mechanics, Hamiltonian mechanics, and coupled oscillations.

内容包括振荡，开普勒轨道，两体散射，旋转参考坐标系，在三个方面，拉格朗日力学，哈密顿力学刚体转动，和耦合振荡。

By choosing the special values of parameters in the hierarchy, the hierarchies of the general TD, TD, the general C-KdV and C-KdV can be obtained. In order to investigate the Hamiltonian structure of this soliton hierarchy, a new Lenard gradient sequence {Gj} and its corresponding 2×2 Lenard pair of operators are introduced.

对该方程族中的参数取不同的值，可得到广义TD族，TD族，广义C-KdV族和C-KdV族；为研究其Hamilton结构，通过定义新的Lenard递推序列{G_j}得到了该等谱方程族的2×2 Lenard算子对

In addition, there exists the high dimensional oscillator in physics, In its Hamiltonian coordinates and momenta are coupled. For instance, quantumHall system does so.

另外，物理问题中有一类型振子是高维的，在其哈密顿量中动量和坐标是相互耦合的，比如量子霍尔系统就是如此。

Thirdly, a multi-component form of equation(8)in reference[40]is worked out, then its Hamiltonian structure is presented byuse of the extended trace identity. Nextly, the expanding integrable model ofmulti-component integrable equation hierarchy is obtianed.

最后，将文献[40]中Liouville可积的方程族(8)式扩为多分量的形式，然后利用扩展的迹恒等式得到了该多分量方程族的HamiIton结构，接下来求出了多分量方程族的一类扩展可积模型。

Finally, we phenomenologically separate phase according to magnetic fields, the results is consistent with our new idea where we use the Hamiltonian with curved surface to analyze XY model. In chapter Ⅳ, we make two hypotheses: the system has one-step time correlation and two-step time correlation. We find the effect of Ratchet potential is similar to OSTC which changes the system's relaxation. TSTC may facilitate the system to move forward or backward along the nonlinear wave of the thermal fluctuation.

第四章，我们进一步作了两个唯象的假设：体系有一步和两步时间关联；发现Ratchet势与一步时间关联有相似效果——改变了体系对热噪声的驰豫；而两步时间关联项则能够促使体系在热噪声的非线性波形上定向&冲浪&，或者促使体系躲避热噪声的扰动保持在势阱底部。

Some solvability conditions, including sublinear ,subquadralic and superquadratic, and the corresponding existence results are summed up for periodic solutions of the second order Hamiltonian systems obtained by using the minimax methods.

本文综述了用极小极大方法得到的关于二阶Hamilton系统周期解的可解性条件及相关结果，包括次线性条件，次二次条件和超二次条件等方面的近期结果。

A general form of Hamiltonian for vibronic Jahn-Teller systems is derived on the basis of adiabatic approximation and group theory. The electronic operators and active Jahn-Teller modes appeared in a vibronic system are also discussed.

本文基于绝热近似和群论导出了电声耦合系统的哈密顿量的一般形式，讨论了电声耦合系统中的电子算符和活跃的声子模式。

Since symplectic algorithms were brought forward by Kang Feng, two overflying developments took on: one is the generalization from finite dimensional Hamiltonian system to the infinite dimensional, the other is the generalization to multisymplectic algorithms.

自从冯康院士提出辛算法以后，这一算法有了两次大的飞跃和发展，一次是从有限维向无限维的推广，一次是向多辛算法的深入发展。

Based on the electron-lattice interaction,Frohlich Hamiltonian and quantization theory are used to deduce the dimerized energy gap and phase transition temperature of carbon nanotube.

依据碳纳米管中电子-声子相互作用的原理，采用哈密顿量、量子化理论推导了二聚化对应能隙和相变温度，在紧束缚近似、量子理论和能带理论的基础上，利用周期性边界条件对碳纳米管Π电子进行了分析，讨论了碳纳米管的导电性，预测了室温下碳纳米管碳管中载流子输运方向

Where is a single-particle Hamiltonian of noninteracting fermions.

其中， 是非作用费米子的单粒子哈密顿量。

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。