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 

作者机构：Department of Material Science and Engineering University of Science and Technology of China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2014年第23卷第6期

页      面：18-22页

核心收录：

学科分类：070207[理学-光学] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

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) 

主　　题：generating function even- and odd-Hermite polynomials Hermite polynomial method techniqueof integral within an ordered product of operators 

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.