摘要
用有序算符内的积分技术,推导了光场位相算符和逆算符的Weyl编序展开形式,并利用该结果获得了相算符的经典对应以及某些新的特殊函数的生成函数和新的积分公式,尤其是导出了带负次幂的复高斯积分的积分公式.
Using the technique of integration within an ordered product of operators, we derive Weyl ordered expansion for optical field phase operator and inverse of creation and annhilation operators. The results are used to obtain the classical correspondence, new generation function formula of some special functions and new integration formulas. In particular, for the first time we derive complex Gaussian integral formula when the integrand has negative power function.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2013年第8期1-5,共5页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10975125
11175113)资助的课题~~
关键词
Weyl编序
位相算符
有序算符内的积分
Weyl ordering
phase operator
integration within an ordered product of operators
