New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics  

作　　者：徐世民 张运海 徐兴磊 李洪奇 王继锁 

机构地区：[1]Department of Physics and Electronic Engineering,Heze University [2]College of Physics and Engineering,Qufu Normal University

出　　处：《Chinese Physics B》2016年第12期153-158,共6页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Shandong Province,China(Grant No.ZR2015AM025);the Natural Science Foundation of Heze University,China(Grant No.XY14PY02)

摘　　要：In this paper, we provide a new kind of operator formula for anti-normally and normally ordering bosonic-operator functions in quantum optics, which can help us arrange a bosonic-operator function f（λQ ＋ VP） in its anti-normal and normal ordering conveniently. Furthermore, mutual transformation formulas between anti-normal ordering and normal ordering, which have good universality, are derived too. Based on these operator formulas, some new differential relations and some useful mathematical integral formulas are easily derived without really performing these integrations.In this paper, we provide a new kind of operator formula for anti-normally and normally ordering bosonic-operator functions in quantum optics, which can help us arrange a bosonic-operator function f（λQ ＋ VP） in its anti-normal and normal ordering conveniently. Furthermore, mutual transformation formulas between anti-normal ordering and normal ordering, which have good universality, are derived too. Based on these operator formulas, some new differential relations and some useful mathematical integral formulas are easily derived without really performing these integrations.

关 键 词：Baker-Hausdorff formula operator differentiation mutual transformation 

分 类 号：O431.2[机械工程—光学工程]