平移算符和压缩算符的ket-bra不对称积分表示  

Ket-Bra Asymmetric Integral Representation of Translation and Compression Operator

作　　者：林蓉[1] 

机构地区：[1]菏泽学院物理与电子工程系,山东菏泽274015

出　　处：《洛阳师范学院学报》2015年第5期40-43,共4页Journal of Luoyang Normal University

基　　金：菏泽学院自然科学基金项目(XY13KJ04)

摘　　要：基于经典平移变换和压缩变换,借助于无量纲坐标表象这一基本表象,利用正规乘积内的积分技术(IWOP技术)构造了平移算符和压缩算符的不对称ket-bra积分表示.并利用正规乘积的性质及有序算符内的积分技术检验了其幺正性,研究了其变换特性.其数学形式简洁且优美,可以很直观地表述很多物理定律,在量子力学、量子光学中用途广泛.Ket-bra asymmetric integral representation of translation and compression operator is structured .On the basis of the technique of integration within an ordered product of operators （ IWOP） and the dimensionless coor-dinate representation which is a basic representation based on classic translation transformation and compression transformation .The unitarity of the operators is tested and its transformation properties are studied by using proper-ties of an ordered product and IWOP technology .Its mathematical form is simple and beautiful , and it can express many of the laws of physics intuitively .And it is widely used in quantum mechanics and quantum optics .

关 键 词：平移算符 压缩算符 幺正性 正规乘积内的积分技术 

分 类 号：O413.1[理学—理论物理]