Simple Approach to Deriving Some Operator Ordering Formulas in Quantum Optics
Simple Approach to Deriving Some Operator Ordering Formulas in Quantum Optics
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DOI：
10.1007/s10773-010-0399-x
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发表时间：
2010-06
影响因子：
1.4
通讯作者：
Heng-Mei Li;Hongchun Yuan
中科院分区：
文献类型：
--
作者：
Heng-Mei Li;Hongchun Yuan
本文给出了量子光学中某些算符的正规序和反正规序公式的一种简单而巧妙的方法。即直接采用Hermite多项式的母函数和Baker-Hausdorff公式，不同于已有的方法。作为一个重要的副产品，基于这些算子恒等式，无需真正执行这些积分，就可以很容易地给出一些有用的数学积分公式。
In this paper, we provide a simple and neat approach to some operators’ normal ordering and antinormal ordering formulas in quantum optics. Namely, we directly adopt the generating function of Hermite polynomial and the Baker-Hausdorff formula, which differs from the existing ways. As an important byproduct, based on these operator identities, some useful mathematical integral formulas are easily given without really performing these integrations.