| 双模场中Susskind-Glogower相算符的对偶本征矢 |
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| 引用本文： | 许雪芬.双模场中Susskind-Glogower相算符的对偶本征矢[J].量子电子学报,2006,23(6):806-810. |
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| 作者姓名： | 许雪芬 |
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| 作者单位： | 江苏技术师范学院基础部,江苏,常州,213001 |
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| 摘 要： | 找到了双模场中Susskind-Glogower相算符eiφ态矢|(S),q〉的对偶本征矢|(S),q〉*,运用围道积分证明了|(S),q〉*是e-iφ和光子数差算符的共同本征矢.研究了|(S),q〉*的性质,结果是|(S),q〉*及其对偶〈(S),q |构成围道积分形式的完备性,给出了双模场的相态表象.
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| 关 键 词： | 量子光学 对偶本征矢 相算符 围道积分 |
| 文章编号： | 1007-5461（2006）06-0806-05 |
| 收稿时间： | 2005-08-22 |
| 修稿时间： | 2005-12-20 |
Dual eigenvectors of the Susskind-Glogower phase operators for a two-mode field |
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| XU Xue-fen.Dual eigenvectors of the Susskind-Glogower phase operators for a two-mode field[J].Chinese Journal of Quantum Electronics,2006,23(6):806-810. |
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| Authors: | XU Xue-fen |
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| Abstract: | We find that there exist dual eigenvectors ｜(S), q〉* of the phase state-vectors ｜(S), q〉of the two-mode Susskind-Glogower phase operator eiφ. By contour integration we show that ｜(S), q〉* is the common eigenvector of e-iφ 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. |
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| Keywords: | quantum optics dual eigenvector phase operator contour integration |
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