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 .
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)
