双模场中Susskind-Glogower相算符的对偶本征矢(英文)  

Dual eigenvectors of the Susskind-Glogower phase operators for a two-mode field

作　　者：许雪芬[1] 

机构地区：[1]江苏技术师范学院基础部,江苏常州213001

出　　处：《量子电子学报》2006年第6期806-810,共5页Chinese Journal of Quantum Electronics

摘　　要：找到了双模场中Susskind-Glogower相算符e^(iφ)态矢|,q〉的对偶本征矢|,q〉_*,运用围道积分证明了|,q〉_*是e^(-iφ)和光子数差算符的共同本征矢。研究了|,q〉_*的性质,结果是|,q〉_*及其对偶〈,q|构成围道积分形式的完备性,给出了双模场的相态表象。We find that there exist dual eigenvectors ｜ s, q〉＊ of the phase state-vectors ｜ s, q〉 of the two-mode Susskind-Glogower phase operator ei0. By contour integration we show that ｜ s, q〉＊ is the common eigenvector of e^-iФ and the photon number difference operator. The properties of ｜ s, q〉＊ are studied, it turns out that ｜ s, q〉＊ and ｜ s, q〉 can compose a completeness relation in contour integration form. A phase state representation for two-mode field is thus presented.

关 键 词：量子光学 对偶本征矢 相算符 围道积分 

分 类 号：O431.2[机械工程—光学工程]