摘要
酉矩阵在向量空间中相当于旋转算子,本文主要讨论2阶酉矩阵的两种分解:一种是分解成y轴旋转算子与z轴旋转算子的乘积;一种是分解为任意方向的旋转算子.最后对特殊的4阶酉矩阵实现直和分解.
U matrix is equivalent the revolving operation in vector space.This paper mainly discusses two kinds of decompositions of two dimensions U matrix：one is decomposed to revolving operation of y axis multiply revolving operation of z axis,the other is decomposed to revolving operation of random direction.Finally we get the direct sum of decompositions for some special four dimensions U matrix.
作者
毛雁翎
MAO Yan-ling(College of Mathematics and Statistics, Qinghai Nationalities University, Xining 810007,China)
出处
《青海师范大学学报（自然科学版）》
2017年第1期31-36,共6页
Journal of Qinghai Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11601300)
关键词
酉矩阵
张量积
旋转算子
U matrix
tensor product
revolving operation
