英语释义

1. a function that is used to describe a dynamic system (such as the motion of a particle) in terms of components of momentum and coordinates of space and time and that is equal to the total energy of the system when time is not explicitly part of the function — compare lagrangian

片语

Hamiltonian systemshamilton方程组

complete hamiltonian总哈密顿算符

bohr hamiltonianbohr哈密顿量

algebraic hamiltonian代数hamiltonian

Hamiltonian pathA Hamiltonian cycle in a [[dodecahedro Like all platonic solids, the dodecahedron is Hamiltonia

Hubbard Hamiltonian哈勃德哈密顿量

hamiltonian equationshamilton方程

anisotropic hamiltonian蛤异性哈密顿函数

hamiltonian dynamics动力学

英汉例句

• Successive diagonalization and truncation technique was used to reduce the size of the final Hamiltonian matrix to be diagonalized.

  为了降低需要对角化的最终哈密顿矩阵的维数，采用连续对角化截断方法。

• If one network contains Hamiltonian cycles (Hamiltonian paths) and cycles of variable lengths, then it can effectively simulate the algorithms designed based on rings and linear arrays.

  若一个网络含有哈密顿圈(哈密顿路)及不同长度的圈，则可以有效模拟在环或线性阵列上设计的许多算法。

• Therefore, it is necessary to study numerical methods which preserve the symplectic structure of the Hamiltonian system.

  因此，研究保持哈密尔顿系统的辛几何结构特征的数值方法是必然的。

• The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle.

  应用哈密顿原理，推导出均匀桿的纵振动方程与横振动方程。

• 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.

  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。

• The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.

  系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。

• An effective Hamiltonian of surface polaron interacting with the deformation potential in polar crystals was derived by using improved linear combination operator method.

  本文采用改进了的线性组合算符法导出了极性半导体中与形变势相互作用的表面极化子的有效哈密顿量。

• For a system, Hamiltonian is invariant under any translation of spatial coordinates.

  对于一体系，哈密算符在任何空间坐标变换下是不变的。

• The Hamiltonian of sodium atom is reduced by using screening Coulomb potential, and the energy levels of sodium atom are calculated by means of twofold perturbation.

  用屏蔽库侖势简化了钠原子的哈密顿，用两次微扰法计算了钠原子的能量，结果与实验值符合得较好。

• The Coulomb interaction between the electron and the hole is treated accurately by the direct diagonalization of the Hamiltonian matrix.

  通过哈密顿量矩阵的对角化，对电子和空穴间的库侖相互作用进行了精确处理。

• In two dimensional homogenous harmonic oscillators, except for Hamiltonian there are still three independent constant observables.

  在二维各向同性谐振子中，除哈密顿量外还有三个独立的守恒量。

• A generalized KAM theorem for lower dimensional tori in Hamiltonian systems is obtained, which applies to the case where there are normal frequencies and hyperbolic normal components simultaneously.

  本文给出了关于哈密顿系统低维环面的一个推广的KAM定理，它适用于同时存在法向频率和双曲法向分量的情况。

• This leads to some painfully overwrought prose: 「What we are left with today, with the ascendancy of the Archangel Obama, is the Triumph of the Hamiltonian Will.」

  这种看法促使一些反应过度的悲伤的诗作的产生：「我们今日所留 / 给天使长奥巴马的/是汉密尔顿党人意志的胜利。」

• With quantization scheme of canonical transformation and gauge transformation, Hamiltonian operator and wave function of a quantized RLC circuit with external source are obtained.

  采用正则变换量子化以及规范变换方案，得到有源rl C电路量子化哈密顿算符及其波函数。

• The phenomenon of measure synchronization is an important property in coupled Hamiltonian systems.

  测度同步现象是耦合哈密顿系统的一种重要性质。

• This paper considers the Hamiltonian realization of feedback nonlinear systems. Two kinds of systems are considered: a plane system and a system with input channels spanning a Lagrangian subspace.

  考虑了非线性系统的反馈哈密顿实现问题，主要讨论两类系统：平面系统和输入通道由拉格朗日子空间张成的系统。

• Dynamical problems about energy dissipation in a finite multi-degree of freedom Hamiltonian system are studied.

  研究了有限的多自由度耦合哈密顿系统能量耗散过程的动力学问题。

• This is a most useful form of the harmonic oscillator Hamiltonian and it will be encountered in several subsequent developments.

  这是谐振子哈密顿算符最有用的形式，在下文中还会碰到这个表达式。

• Meanwhile, it is the placard-waving, Jeffersonian common horde, flocking to town halls and filling town squares, whohave become the champions of Hamiltonian prudence.

  以此同时，那些成群结队涌入市政厅、挤满城市广场、摇旗吶喊的杰斐逊平民粉丝，却早已成了汉密尔顿智慧的拥趸。

• Based on the Hamiltonian system's theory, the relationship between closed-loop poles of system characteristic equation and weighting matrices was thoroughly investigated.

  根据哈密尔顿系统理论，深入研究了系统特征方程的闭环极点和加权矩阵的关系，给出了希望加权矩阵的确定方法。

• The stability of Hamiltonian systems with time delay was investigated.

  研究了带有时滞的哈密顿系统的稳定性问题。

• 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.

  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。

• 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.

  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。