相干态的小波变换

余海军; 杜建明; 张秀兰

doi:10.7498/aps.61.164205

摘要

根据小波变换的量子力学机理, 通过选取不同的系数, 构造出两组新的母小波函数. 在此基础上, 利用正规乘积内积分技术, 推导出相干态和粒子数态的小波变换, 并数值模拟出它们的小波变换图谱.

关键词:

小波变换 /
相干态 /
粒子数态

Two new mother wavelets are constructed on the basis of the quantum mechanics of classical wavelet transform. Based on that, the wavelet transform of coherent state and particle number state is studied with the technique of integration within an ordered product, and the wavelet transform from coherent state to particle number state is obtained by numerical calculation.

Keywords:

作者及机构信息

1.
淮南师范学院物理系, 淮南 232001

基金项目: 安徽高校省级自然科学研究项目(批准号: KJ2011Z339, KJ2011Z359)和淮南师范学院自然科学研究项目(批准号: 2010LK08)资助的课题.

Authors and contacts

1.
Department of Physics, Huainan Normal University, Huainan 232001, China

Funds: Project supported by the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant Nos. KJ2011Z339, KJ2011Z359) and the Natural Science Foundation of Huainan Normal University, China (Grant No. 2010LK08).

参考文献

[1]	Burrus C S, Gopinath R A, Guo H T 1998 Introduction to Wavelet and Wavelet Transformation (A Primer)(Prentice: Prentice Hall)
[2]	Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[3]	Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[4]	Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[5]	Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[6]	Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[7]	Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[8]	Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[9]	Song J, Xu Y J, Fan H Y 2011 Acta Phys. Sin. 60 084208 (in Chinese) [宋军, 许业军, 范洪义 2011 物理学报 60 084208]
[10]	Fan H Y 2001 Entangled State Representations in Quantum Mechanics and Their Applications (Shanghai: Shanghai Jiaotong University Press) p22 (in Chinese) [范洪义 2001 量子力学纠缠态表象及应用(上海:上海交通大学出版社)第22页]

施引文献

[1]	Burrus C S, Gopinath R A, Guo H T 1998 Introduction to Wavelet and Wavelet Transformation (A Primer)(Prentice: Prentice Hall)
[2]	Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[3]	Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[4]	Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[5]	Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[6]	Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[7]	Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[8]	Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[9]	Song J, Xu Y J, Fan H Y 2011 Acta Phys. Sin. 60 084208 (in Chinese) [宋军, 许业军, 范洪义 2011 物理学报 60 084208]
[10]	Fan H Y 2001 Entangled State Representations in Quantum Mechanics and Their Applications (Shanghai: Shanghai Jiaotong University Press) p22 (in Chinese) [范洪义 2001 量子力学纠缠态表象及应用(上海:上海交通大学出版社)第22页]

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相干态的小波变换

Wavelet transform of coherent state

摘要

Abstract

作者及机构信息

1.
淮南师范学院物理系, 淮南 232001

Authors and contacts

1.
Department of Physics, Huainan Normal University, Huainan 232001, China

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相干态的小波变换

Wavelet transform of coherent state

摘要

Abstract

作者及机构信息

1. 淮南师范学院物理系, 淮南 232001

Authors and contacts

1. Department of Physics, Huainan Normal University, Huainan 232001, China

参考文献

施引文献

目录

计量

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作者中心

审稿中心

关于期刊

关于我们

1.
淮南师范学院物理系, 淮南 232001

1.
Department of Physics, Huainan Normal University, Huainan 232001, China