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

Fan Hong-Yi, Zhan De-Hui, Yu Wen-Jian, Zhou Jun
2012 Wuli xuebao  
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.
doi:10.7498/aps.61.110302 fatcat:babziqj3xvgi5obsgbg4ul4tii