厄米多项式算符的新恒等式及其在量子压缩中的应用

物理学报

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范洪义, 展德会, 于文健, 周军. 2012: 厄米多项式算符的新恒等式及其在量子压缩中的应用, 物理学报, 61(11): 95-99.

引用本文:

范洪义, 展德会, 于文健, 周军. 2012: 厄米多项式算符的新恒等式及其在量子压缩中的应用, 物理学报, 61(11): 95-99.

2012: New Hermite-polynomial-operator identities and their application in quantum squeezing, Acta Physica Sinica, 61(11): 95-99.

Citation:

2012: New Hermite-polynomial-operator identities and their application in quantum squeezing, Acta Physica Sinica, 61(11): 95-99.

New Hermite-polynomial-operator identities and their application in quantum squeezing

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．
- 有序算符内的积分 /
- 厄米多项式 /
- 压缩算符
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.