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奇偶二项式光场态的小波变换
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O431.2[机械工程—光学工程;理学—光学;理学—物理]
  • 作者机构：[1]皖西学院材料与化工系,六安237012, [2]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：10775097 10874174）资助的课题
作者： 宋军[1,2], 许业军[2], 范洪义[2]
关键词： 小波变换, 奇偶二项式态, 有序算符内积分, wavelet transform, odd-and even-binomial states, integration within an ordered product of operators
中文摘要：

利用有序算符内积分方法,小波变换可以表示为被转换态矢｜f〉在压缩平移算符U（μ,s）作用下向母小波态矢〈ψ｜转换的矩阵元〈ψ｜U（μ,s）｜f〉.在此基础上,计算了奇、偶二项式态的小波变换,得到小波变换谱.结果表明,小波变换谱可以起到识别这些量子力学态的作用,具有直观易辨的优点.

英文摘要：

In the context of quantum mechanics the classical wavelet transform of a function f with the mother wavelet ψ can be recast into a matrix element of the squeezing-displacing operator U（μ,s） as 〈ψ｜U（μ,s）｜f〉.The technique of integral within an ordered product of operators is used to support this theory.Based on this,wavelet transforms are done for even-and odd-binomial states,and the corresponding numerical calculation leads to the spectrum of wavelet transform,which is helpful for recognizing the difference between even-and odd-states.

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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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  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:49876