| 用本征函数法计算D3群特征标 |
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| 引用本文： | 翟仲海,富纯智,刘立钢,郑君刚. 用本征函数法计算D3群特征标[J]. 沈阳建筑工程学院学报(自然科学版), 2002, 18(2): 158-160 |
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| 作者姓名： | 翟仲海 富纯智 刘立钢 郑君刚 |
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| 作者单位： | [1]沈阳建筑工程学院基础部，辽宁沈阳110015 [2]黑龙江齐齐哈尔车辆厂职工学校，黑龙江齐齐哈尔161002 |
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| 摘 要： | 阐述了用本征函数法求D3群特征标的具体原理及步骤，给出用本征函数法求有限群特征标的普适方法，即构成完备算符集的L个类算符的矩阵表示，求出这L个矩阵的共同的特征矢量，从归一化条件定出特征矢量大小，最后利用特征矢量求出特征标。
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| 关 键 词： | 特征标 本征函数法 类空间 不可约表示 群论表示理论 D3群 特征矢量 |
| 文章编号： | 1671-2021(2002)02-0158-03 |
| 修稿时间： | 2001-11-04 |
Calculating D3 Group''s Characters by Intrinsic Function Method |
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| Zhai Zhong hai,Liu Li gang,Zheng Jun gang. Calculating D3 Group''s Characters by Intrinsic Function Method[J]. Journal of Shenyang Archit Civil Eng Univ: Nat Sci, 2002, 18(2): 158-160 |
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| Authors: | Zhai Zhong hai Liu Li gang Zheng Jun gang |
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| Abstract: | Characters play an important role in traditional group theory.However,there isn't a proper method for determining characters.Eigenfunction method offers a universal method to determine characters of finite group by finding out several class operator of CSCO in matrix representative,and these matrix's common special vectors.With the help of orthonormality,we get the quantity of the special vectors,and by using the special vectors,we determine characters.This paper determines characters of D 3 by Mr.Chen Jin quan' eigenfunction method,and it illustrates in details concrete steps and a general method for the conclusion of the characters by eigenfunction method. |
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| Keywords: | characters intrinsic function method class space irreducible representation. |
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