New Operator Ordering Formulas Related to Hermite Polynomials Derived by Virtue of IWOP Technique  

作　　者：FANHong-Yi 

机构地区：DepartmentofPhysics,ShanghaiJiaoTongUniversity,Shanghai200030,China

出　　处：《Communications in Theoretical Physics》2004年第3X期339-342,共4页理论物理通讯（英文版）

基　　金：中国科学院院长基金，国家自然科学基金

摘　　要：By virtue of the technique of integration within an ordered product of operators and the fundamentaloperator identity Hn(X) = 2n : Xn :, where X is the coordinate operator and Hn is the n-order Hermite polynomials,:: is the normal ordering symbol, we not only simplify the derivation of the main properties of Hermite polynomials,but also directly derive some new operator identities regarding to Hn(X). Operation for transforming f(X) → :f(X) :is also discussed.

关 键 词：n阶Hermite多项式 IWOP技术 量子器件 数学物理方法 狄拉克算符 

分 类 号：O411.1[理学—理论物理]