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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.
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Keywords:
- wavelet transform /
- coherent state /
- number state
[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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[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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