| 厄米多项式算符的新恒等式及其在量子压缩中的应用 |
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| 引用本文： | 范洪义,展德会,于文健,周军.厄米多项式算符的新恒等式及其在量子压缩中的应用[J].物理学报,2012,61(11):110302-110302. |
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| 作者姓名： | 范洪义 展德会 于文健 周军 |
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| 作者单位： | 中国科学技术大学材料科学与工程系,合肥,230026 |
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| 基金项目： | 国家自然科学基金(批准号: 10874174) 和高等学校博士学科点专项科研基金(批准号: 20070358009) 资助的课题. |
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| 摘 要： | 通过发现有关厄米多项式算符Hn(X)的恒等式, 并结合有序算符内的积分技术, 得到了一些关于量子压缩的算符新恒等式, 这对于研究压缩粒子数态波函数十分有用.
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| 关 键 词： | 有序算符内的积分 厄米多项式 压缩算符 |
| 收稿时间： | 2011-07-28 |
New Hermite-polynomial-operator identities and their application in quantum squeezing |
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| Fan Hong-Yi,Zhan De-Hui,Yu Wen-Jian,Zhou Jun.New Hermite-polynomial-operator identities and their application in quantum squeezing[J].Acta Physica Sinica,2012,61(11):110302-110302. |
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| Authors: | Fan Hong-Yi Zhan De-Hui Yu Wen-Jian Zhou Jun |
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| Institution: | Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | By introducing the Hermite-polynomial-operator Hn(X), where X is the coordinate operator (or the quadrature operator in quantum optics theory), and combining the technique of integration within an ordered product of operators, we derive some new operator identities about quantum squeezing, which are useful for studying the squeezed number state. |
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| Keywords: | integration within an ordered product Hermite-polynomial squeezing operator squeezing operator |
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