Some new generating function formulae of the two-variable Hermite polynomials and their application in quantum optics

被引：0

作者：

展德会 ^{[1
,2
]}

范洪义 ^{[1
]}

机构：

[1] Department of Material Science and Engineering, University of Science and Technology of China

[2] College of Mechanic and Electronic Engineering, Wuyi University

来源：

Chinese Physics B | 2014年 / 12期

关键词：

generating function; two-variable Hermite polynomials; Hermite polynomial method; technique of integral within an ordered product of operators;

D O I：

暂无

中图分类号：

O431.2 [量子光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive some new generating function formulae of the two-variable Hermite polynomials, such as ∞∑n=0tm/m!Hn,2m(x),∞∑n=0sntm/n!m!H2n,2m(x,y),and ∞∑n=0sntm/n!m!H2n+l,2m+k(x,y).We employ the operator Hermite polynomial method and the technique of integration within an ordered product of operators to solve these problems, which will be useful in constructing new optical field states.

引用

页码：34 / 37

页数：4