Irreducible representation

The Base Function of the Irreducible Representation for Point Groups in the Expansion of Free Energy

自由能展开式中点群的不可约表示的基函数

The calculation of characters of group representation is the basis of studying the irreducible representation of groups .

计算各种群的特征标，是研究群不可约表示的基础。

The Method of Configuration Interaction of Irreducible Representation Basis Functions of Symplectic Chain

辛群群链不可约表示基函数的组态相互作用方法

Irreducible representation of the odd - degree complex Clifford algebra

奇数次复Clifford代数的不可约表示

Comparison of Calculation Methods and Application of Circularity Molecule ( CH ) _n Irreducible Representation Radix

对环状（CH）n分子不可约表示的基的计算方法比较与应用

Many of the important applications of complex Clifford algebra come from the irreducible representation of complex Clifford algebra .

有关复Clifford代数的许多重要应用来源于复Clifford代数的不可约表示。

For the molecular orbital , the irreducible representation component is analyzed besides the membership function of the fuzzy symmetry transformation .

对于分子轨道，除模糊对称变换的隶属函数外，分析了所属不可约表示成分。

The Irreducible Representation of the Numberator point Group

分子点群的不可约表示

Clebsch-Gordan Coefficients of Space Groups and the Method of Disposition of the Phase Factor in the Process of Computation by the Irreducible Representation

关于空间群的C&G系数及IR表示的计算中位相因子的处理方法

It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of Schur Lemma .

利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。

The total antisymmetric basis functions are constructed for irreducible representation of S3 permutation group from nine-dimensional hyperspherical harmonics .

以九维超球谐为投影函数，构造置换群S3一维不可约表示的全反称基函数。

In the paper We present a Calculating method for eigenvalue of CSCO-I of Ih group using Table of characters of irreducible representation of Ih group .

本文提供一种由Ih群的不可约表示的特征标来求Ih群的CSCO-I本征值谱的方法。

By using two different methods , we acquire irreducible representation radix of circularity molecule . If we reasonably use the symmetry of system , it is convenient to calculation course .

利用体系的对称性，用两种不同方法求出对环状（CH）n分子的不可约表示的基，大大地简化了计算。

The laws of physics has its group , The class of irreducible representation of group decides the structure of the system of quantum , such as H2O electronic eigenstate .

物理规律对应着确定的群，群的不可约表示对H空间的态矢分类可方便地决定一个量子系统的结构。并对H2O的电子态进行了分析。

The calculated results are classified according to irreducible representation of molecular point-group , and it is thus convenient to analyze data by means of group theory and correlate with experimental spectroscopic dade , etc.

计算结果按分子点群不可约表示分类，便于从群论的观点讨论分子能谱并与实验数据进行对比。

In the frame of irreducible representation of Poincar é group , this spin operator , which is named as moving spin and applied to all the canonical states of the particle , is constructed .

在Poincar啨群不可约表示的框架里，构造了适用于粒子任意正则态的自旋算符，称为运动自旋。

In this paper , we calculate the irreducible representation of magnetic space group by using the co-representation theory of magnetic group and calculate the C-G coefficients of the structure for magnetic space group by eigenfunction method ( EFM ) .

本文利用磁群共表示理论构造出磁空间群的不可约表示，进而利用本征函数法计算了O10h结构磁空间群的CG系数。

The generators and irreducible representation coherent state of the SU ( 2 ) group are constructed using the inverse operators of bose harmonic oscillator . The inhomogeneous inverse differential realizations of the SU ( 2 ) group are derived .

利用玻色振子的逆算符构造了SU（2）群的生成元和不可约表示的相干态，进而导出了SU（2）群的非齐次逆微分实现。

The bonding properties are analysed . The relation between the H-F force and the MO 's irreducible representation is presented , a method to decide the molecular geometric configuration variation of excited states by the frontier MO 's H-F force is suggested .

用从头算法计算了乙烯和环丙烷的各分子轨道的H-F力，指出了H-F力与分子轨道不可约表示闻的关系，提出了用前线轨道的H-F力判断激发态分子构型畸变的方法。

By using the inverse matrix of Cartan matrix , the expansion of the highest weight of any irreducible representation for the simple Lie algebra g by its simple roots is given , and the expression of given by Dynkin for the simple Lie algebra is also obtained .

利用Cartan矩阵的逆矩阵，得到了单李代数g任一不可约表示的最高权关于g的素根的展开式，并得到了Dynkin所给的单李代数r值的表达式。