Dirac multimode ket-bra operators' Q-ordered and P-ordered integration theory and general squeezing operator  

作　　者：FAN HongYi LOU SenYue 

机构地区：[1]Department of Physics,Ningbo University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第11期2042-2046,共5页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11175113)

摘　　要：We develop quantum mechanical Dirac ket-bra operator’s integration theory in Q-ordering or P-ordering to multimode case,where Q-ordering means all Qs are to the left of all Ps and P-ordering means all Ps are to the left of all Qs.As their applications,we derive Q-ordered and P-ordered expansion formulas of multimode exponential operator e iPlΛlkQk.Application of the new formula in finding new general squeezing operators is demonstrated.The general exponential operator for coordinate representation transformation q1q2→A B C D q1q2is also derived.In this way,much more correpondence relations between classical coordinate transformations and their quantum mechanical images can be revealed.We develop quantum mechanical Dirac ket-bra operator＇s integration theory in Q-ordering or P-ordering to multimode case, where Q-ordering means all Qs are to the left of all Ps and P-ordering means all Ps are to the left of all Qs. As their applications,we derive Q-ordered and P-ordered expansion formulas of multimode exponential operator e iPlΛlkQk. Application of the new formula in finding new general squeezing operators is demonstrated. The general exponential operator for coordinate representation transformation q1q2 → A B C D q1q2 is also derived. In this way, much more correpondence relations between classical coordinate transformations and their quantum mechanical images can be revealed.

关 键 词：integration theory in Q-ordering or P-ordering Q-ordered and P-ordered expansion formulas multimode exponential operator 

分 类 号：O413[理学—理论物理]