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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.
[1] Song J, Fan H Y 2010 Acta Phys. Sin. 59 6806 (in Chinese) [宋军, 范洪义 2010 物理学报 59 6806]
[2] Fan H Y, Lu H L, Fan Y 2006 Ann. Phys. 321 480
[3] Li W, Wang Y G, Yang B J 2011 Acta Phys. Sin. 60 024203 (in Chinese) [李巍, 王永钢, 杨伯君 2011 物理学报 60 024203]
[4] Liu X J, Zhao M Z, Liu Y M, Zhou B J, Peng Z H 2010 Acta Phys. Sin. 59 3227 (in Chinese) [刘小娟, 赵明卓, 刘一曼, 周并举, 彭朝晖 2010 物理学报 59 3227]
[5] Fan H Y 1990 Phys. Rev. A 41 1526
[6] Fan H Y, Cai B Z 1994 Phys. Rev. A 50 3754
[7] Fan H Y 2000 Commun. Theor. Phys. 34 149
[8] Jiang N Q, Zheng Y Z 2006 Phys. Rev. A 74 012306
[9] Jiang N Q, Jin B Q, Zhang Y, Cai G C 2008 EPL 84 14002
[10] Jiang N Q, Fan H Y, Hu Y L 2011 J. Phys. A: Math. Theor. 44 195302
[11] Fan H Y, Klauder J R 1988 J. Phys. A: Math. Theor. 21 725
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[1] Song J, Fan H Y 2010 Acta Phys. Sin. 59 6806 (in Chinese) [宋军, 范洪义 2010 物理学报 59 6806]
[2] Fan H Y, Lu H L, Fan Y 2006 Ann. Phys. 321 480
[3] Li W, Wang Y G, Yang B J 2011 Acta Phys. Sin. 60 024203 (in Chinese) [李巍, 王永钢, 杨伯君 2011 物理学报 60 024203]
[4] Liu X J, Zhao M Z, Liu Y M, Zhou B J, Peng Z H 2010 Acta Phys. Sin. 59 3227 (in Chinese) [刘小娟, 赵明卓, 刘一曼, 周并举, 彭朝晖 2010 物理学报 59 3227]
[5] Fan H Y 1990 Phys. Rev. A 41 1526
[6] Fan H Y, Cai B Z 1994 Phys. Rev. A 50 3754
[7] Fan H Y 2000 Commun. Theor. Phys. 34 149
[8] Jiang N Q, Zheng Y Z 2006 Phys. Rev. A 74 012306
[9] Jiang N Q, Jin B Q, Zhang Y, Cai G C 2008 EPL 84 14002
[10] Jiang N Q, Fan H Y, Hu Y L 2011 J. Phys. A: Math. Theor. 44 195302
[11] Fan H Y, Klauder J R 1988 J. Phys. A: Math. Theor. 21 725
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