The s-ordered expansions of the operator function about the combined quadrature μX + νP  

作　　者：HongChun Yuan XueXiang Xu HongYi Fan 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2010年第10期1793-1798,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：the support from the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No. 20070358009)

摘　　要：A general framework applicable to deriving the s-ordered operator expansions is presented in this paper.We firstly deduce the s-ordered operator expansion formula of density operator ρ a?,a and introduce the technique of integration within the sordered product of operators (IWSOP).Based on the deduction and the technique,we derive the s-ordered expansions of operators (μX + νP)n and Hn (μX + νP) (linear combinations of the coordinate operator X and the momentum operator P,Hn (x) is Hermite polynomial),respectively,and discuss some special cases of s=1,0,-1.Some new useful operator identities are obtained as well.A general framework applicable to deriving the s-ordered operator expansions is presented in this paper.We firstly deduce the s-ordered operator expansion formula of density operator ρ a?,a and introduce the technique of integration within the sordered product of operators (IWSOP).Based on the deduction and the technique,we derive the s-ordered expansions of operators (μX + νP)n and Hn (μX + νP) (linear combinations of the coordinate operator X and the momentum operator P,Hn (x) is Hermite polynomial),respectively,and discuss some special cases of s=1,0,-1.Some new useful operator identities are obtained as well.

关 键 词：s-ordered OPERATOR expansion formula COMBINED QUADRATURE μX + νP Hermite polynomial IWSOP technique 

分 类 号：N[自然科学总论]