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物理学报  2012 

New Hermite-polynomial-operator identities and their application in quantum squeezing
厄米多项式算符的新恒等式及其在量子压缩中的应用

Keywords: integration within an ordered product,Hermite-polynomial,squeezing operator,squeezing operator
有序算符内的积分
,厄米多项式,压缩算符

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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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