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双模坐标-动量积分型投影算符及其在量子光学中的应用
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O413.1[理学—理论物理;理学—物理] O431.2[机械工程—光学工程;理学—光学;理学—物理]
  • 作者机构：[1]菏泽学院物理系,菏泽274015, [2]聊城大学物理系,聊城252059
  • 相关基金：国家自然科学基金（批准号：10574060）、山东省自然科学基金（批准号：Y2008A16）、山东省高等学校实验技术基金（批准号：S04W138）和菏泽学院自然科学基金（批准号：XY07WL01,XY08WL03）资助的课题.
作者： 徐世民[1], 徐兴磊[1], 李洪奇[1], 王继锁[2]
关键词： 积分型投影算符, 有序算符内的积分技术, 坐标-动量耦合, integral form projection operator,integration within an ordered product technique,coordinate-momentum coupling
中文摘要：

引进了幺正的双模坐标-动量积分型投影算符,利用有序算符内的积分（IWOP）技术分析了其变换特性,并导出了其正规乘积展开式.然后利用该积分型投影算符对角化了双模耦合量子谐振子体系的哈密顿量,从而求出了体系的本征能级与本征波函数.最后讨论了特例情形.

英文摘要：

A two-mode integral form projection unitary operator is introduced.Using the technique of integration within an ordered product（IWOP）of operators,the transformation property of the integral form projection operator is studied,and its normal ordered expression is derived.Then the Hamiltonian of two-mode quantum harmonic oscillator system with coordinate-momentum coupling is diagonalized by virtue of the integral form projection operator,there by the eigenenergy and eigenfunction of the system are exactly solved.Lastly,a special case is discussed.

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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