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Secondly,we prove that there exists one to one correspondence between the charac-teristic subspace of Jacobi matrix of Hamiltonian system and that of its conjugatematrix.

其次，证明哈氏系统Jacobi矩阵的特征子空间与其共轭矩阵的特征子空间是一一对应的。

B Consider the Hamiltonian , where n is a unit vector and are Pauli matrices (α= x, y, z).

考虑哈密顿量，其中 n 是单位向量及为泡利矩阵(α= x， y， z)。

Aim The Hamiltonian is transformed from Pauli matrices to Hubbard operators.

目的把用Pauli矩阵表示的哈密顿量转化成用Hubbard算符表示。

Contents: A Brief Review of Elementary Quantum Chemistry; An Introduction to Electronic Structure Theory; The Born-Oppenheimer Approximation; Time Evolution of Wavefunctions; Angular Momentum Summary; The Unitary Group Form of the Hamiltonian; Introduction to Hartree-Fock Theory; Permutational Symmetries of Integrals; Notes on Excited Electronic States; The Quantum Harmonic Oscillator; Assigning Symmetries of Vibrational Modes; Notes on Elementary Linear Algebra

内容： 初等量子化学的简评；电子结构理论的介绍；天生奥本海默的接近； Wavefunctions的时间演化；角动量摘要； Hamiltonian的单位的组形式；哈特里-Fock 理论的介绍；积分的Permutational对称性；在令人激动的电子国家上注明；这台量谐波振荡器；分配振动的方式的对称性；在初等线性代数上注明

The problem of deciding whether an arbitrary undirected planar graph $G$ is a Hamiltonian is one of six best important {bf NP}-complete problems.

判定一个任意的无向可平面图G是否是哈密顿图问题是六个重要的NP完全问题之一。

Then, in the study of finite degree of freedoms, we introduce the principle of least action, the Lagrangian formula, and the Hamiltonian formula.

然后在讨论多自由系统中引入最小作用量原理，并介绍拉格朗日、哈密顿程式。

A 4 regular Hamiltonian planar map is a plannar map which is both 4 regular and Hamilitonian. A nearly 4 regular map is such a map that all of its vertices but the root vertex are 4 valent.

若一个平面地图的所有顶点是四次的，且又是哈密尔顿地图，则称该平面地图为四正则哈密尔顿平面图一个地图是近四正则的，是指除去根点外，其余顶点的次均为四。

In third chapter, a model of step structure was introduced, and the fixed points of its Hamiltonian renormalization equations can be used to classify the different Si surfaces.

第三章首先简单的介绍了重整化群方法，然后讲述一个台阶结构的模型，它的重整化群方程的不动点可以用来区分不同的Si表面的台阶结构。

Our proposal is based on atom-cavity field resonant interaction, the atom interacts resonantly with the mode of the cavity according to the Jaynes-Cummings Hamiltonian.

本文提出一个基于原子和腔场共振相互作用传送未知原子直积态的腔QED方案，原子和腔场通过J-C哈密顿量发生共振相互作用。

The atom interacts resonantly with the mode of the cavity according to the Jaynes-Cummings Hamiltonian, and when interaction between the atom and one of-the two modes takes place, the other mode remains unaffected.

原子和腔场通过J-C哈密顿量发生共振相互作用，当原子和其中一个模相互作用时，另外一个模不受影响。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。