New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics  

作　　者：范洪义 展德会 

机构地区：[1]Department of Material Science and Engineering, University of Science and Technology of China

出　　处：《Chinese Physics B》2014年第6期18-22,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11175113);the Fundamental Research Funds for the Central Universities of China(Grant No.WK2060140013)

摘　　要：By combining the operator Hermite polynomial method and the technique of integration within an ordered product of operators, for the first time we derive the generating function of even- and odd-Hermite polynomials which will be useful in constructing new optical field states. We then show that the squeezed state and photon-added squeezed state can be expressed by even- and odd-Hermite polynomials.By combining the operator Hermite polynomial method and the technique of integration within an ordered product of operators, for the first time we derive the generating function of even- and odd-Hermite polynomials which will be useful in constructing new optical field states. We then show that the squeezed state and photon-added squeezed state can be expressed by even- and odd-Hermite polynomials.

关 键 词：generating function even- and odd-Hermite polynomials Hermite polynomial method techniqueof integral within an ordered product of operators 

分 类 号：O431.2[机械工程—光学工程]