高斯积分在量子表象理论中的应用  

Application of Gaussian integration in quantum representation theory

作　　者：任刚 杜建明 张文海 REN Gang;DU Jian-ming;ZHANG Wen-hai(School of Electronic Engineering, Huainan Normal University, Huainan, Anhui 232038, China)

机构地区：[1]淮南师范学院电子工程学院,安徽淮南232038

出　　处：《大学物理》2019年第3期4-6,共3页College Physics

基　　金：安徽省教育厅自然科学基金(KJ2016A672);安徽省省级教研项目(2015ckjh039)资助

摘　　要：首先证明了真空投影算符的正规乘积形式,然后结合有序算符内积分技术,把数学上的高斯积分推广到量子算符的积分形式.通过表象的完备性与对称性,进一步给出了坐标表象、动量表象、中介表象和相干态表象的具体形式.At first,the normal product form of the vacuum projection operator is proved and then the Gaussian integral in mathematics is extended to the integral form of the quantum operator.Using the completeness and symmetry of quantum representation,the concrete forms of the coordinate representation,momentum representation,intermediate representation and coherent state representation are given.

关 键 词：高斯积分 量子表象 有序算符内积分技术 

分 类 号：O413.1[理学—理论物理]