查询词典 Hamiltonian

The Hamiltonian of the system was diagonalized by unitary transformation to obtain the eigenenergy spectra of the circuit.

通过幺正变换将系统的哈密顿量对角化，给出体系的本征能谱。

Based on the Hamiltonian of the interaction system, which includes the interaction between two two-level atoms and a single mode vacuum field, the state vector and the density matrix of the system, and the reduced-density matrices of the subsystems are obtained by solving its Schrodinger equation, and the basic model of this problem is established.

从两个二能级原子与单模真空场相互作用系统的哈密顿量出发，通过解Schrodinger方程，得到了系统的态矢、密度矩阵和子系统的约化密度矩阵，建立了本文的工作模型。第二章介绍了量子熵与量子纠缠的发展史，解释了量子熵与量子纠缠的关系，阐述了量子熵与量子纠缠的基本理论。第三章研究了两个二能级原子与单模真空场相互作用系统中的量子纠缠。

SERID has following features:(1) The laser pulse is characterized by the vector potential A that is coupled to the Hamiltonian through the time-dependent Peierls substitution.

该方法有以下主要特点：(1)在电子Hamiltonian中通过时间有关的Peierls替代引入了辐射场与分子的相互作用。

It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

本论文主要进行了如下工作：运用绝热定理的方法研究耦合系统混沌态的半经典量子化，发现对于合适选择的零级哈密顿量，经典混沌态和规则态的量子化结果，在绝热近似下有相同的精度。

All Hamiltonian flows of the FDIHS arelinearized simultaneously on the Abelian varieties by using the generat-ing function approach.

本文藉助于母函数一举求得系统的流变量在Abel簇上的线性演化。

In Chapter 3,(1)The effective rotational Hamiltonian of the local mode states wasrevisited and improved by taking into account the variation of the average vibrationalcoordinate of an anharmonic oscillator.

在第三章中，(1)考虑非谐振子平均振动坐标的变化，改进了局域模态的有效转动哈密顿量。

Treating the anharmonic terms of potential energy as perturbations,and employing the formulas for atomic displacements and Hamiltonian in phonon occupation number representation ,the formulas for thermal expansion coefficients of crystal nano-wires are derived and the numerical calculations are carried out in this paper.

将原子间相互作用势的非谐项作为微扰，运用声子数表象中的晶格原子振动位移和晶格振动哈密顿公式，推导了纳米晶体线的热膨胀系数公式，并进行了数值计算。

The molecular hamiltonian is.formidable enough to strike terror into the heart of any quantum chemis.

分子的哈密顿函数麻烦得足以使任何一个量子化学家心惊胆战。

With the similarity between electromagnetical fields and structural mechanics, the electronic E and magnetic H are considered as two duality variables. With the variational principle, the system is introduced into symplectic geometry of Hamiltonian duality equations.

根据电磁场问题与结构力学的类比关系，把电场量E和磁场量H作为二类变量，通过变分原理寻求一般条件下的解法，将体系导入Hamilton对偶方程的辛几何形式，给出了电磁波导的Hamilton辛体系，并给出了辛本征值问题的表达形式。

By introducing a parametric canonical transformation,Hamiltonian constraintequation in SO(3)ADM phase space is transformed into the parametric formin the Ashtekar phase space.

本文中提出了一个参数化的正则变换，将Palatini理论中SO(3)ADM相空间中的哈密顿约束方程变换到阿西特卡相空间，由此导出参数化的约束方程。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。