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光场位相算符和逆算符的Weyl编序展开
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O431[机械工程—光学工程;理学—光学;理学—物理]
  • 作者机构：[1]安徽理工大学理学院,淮南232001, [2]中国科学技术大学近代物理系,合肥230026, [3]中国科学技术大学材料科学与工程系,合肥230026
  • 相关基金：国家自然科学基金（批准号：10975125,11175113）资助的课题
作者： 李学超[1], 杨阳[2], 范洪义[3]
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
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876