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Journal of Modern Optics Volume 55, 2008 - Issue 11
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Original Articles

Wavelet transform in the context of quantum mechanics and new orthogonal property of mother wavelets in parameter space

Li-Yun Hu Department of Physics, Shanghai Jiao Tong University, Shanghai, ChinaCorrespondence[email protected]
&
Hong-Yi Fan Department of Physics, Shanghai Jiao Tong University, Shanghai, China
Pages 1835-1844 | Received 04 Oct 2007, Accepted 21 Nov 2007, Published online: 14 Jun 2008

Citations (13)

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Read on this site (3)

Hong-Yi Fan & Li-Yun Hu. (2011) Relation between optical Fresnel transformation and quantum tomography in two-mode entangled case. Journal of Modern Optics 58:1, pages 45-51.
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Hong-Yi Fan & Li-Yun Hu. (2009) New relation between input and output fields based on Collins diffraction formula and the Wigner function in entangled state representation. Journal of Modern Optics 56:17, pages 1819-1823.
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Li-Yun Hu & Hong-Yi Fan. (2008) Adaption of Collins formula to fractional Fourier transform studied in the entangled state representation of quantum optics. Journal of Modern Optics 55:15, pages 2429-2437.
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Articles from other publishers (10)

H. M. Srivastava, Firdous A. Shah & Aajaz A. Teali. (2022) On Quantum Representation of the Linear Canonical Wavelet Transform. Universe 8:9, pages 477.
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Shoukang Chang & Liyun Hu. (2019) A novel 3D entangled wavelet transformation and its properties. Journal of Mathematical Physics 60:10.
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Gang Ren, Jian-ming Du & Wen-Hai Zhang. (2018) New Optical Field Generated by Partial Tracing Over Two-Mode Squeezing–Rotating Entangled Vacuum State $$^{{*}}$$ ∗. Journal of Low Temperature Physics 191:3-4, pages 194-205.
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Hu Haibao, Du Peng, Zhou Feng, Song Dong & Wu Yang. (2015) Effect of hydrophobicity on turbulent boundary layer under water. Experimental Thermal and Fluid Science 60, pages 148-156.
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Hong-yi Fan & Li-yun Hu. (2012) Correspondence between quantum-optical transform and classical-optical transform explored by developing Dirac’s symbolic method. Frontiers of Physics 7:3, pages 261-310.
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LI-YUN HU, XUE-XIANG XU & SHAN-JUN MA. (2011) FRACTIONAL HADAMARD TRANSFORM WITH CONTINUOUS VARIABLES IN THE CONTEXT OF QUANTUM OPTICS. International Journal of Quantum Information 09:04, pages 1147-1155.
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Hu Li-Yun & Fan Hong-Yi. (2010) Inversion formula and Parseval theorem for complex continuous wavelet transforms studied by entangled state representation. Chinese Physics B 19:7, pages 074205.
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Li-Yun Hu & Hong-Yi Fan. (2010) Entangled Husimi Distribution and Complex Wavelet Transformation. International Journal of Theoretical Physics 49:5, pages 1065-1072.
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Li Chi-Sheng & Luo Han-Wen. (2010) Optical scaled Fresnel–Fourier transform obtained via intermediate coordinate–momentum representation. Chinese Physics B 19:1, pages 010308-6.
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Nan-run Zhou, Li-yun Hu & Hong-yi Fan. (2008) The complex fractional Fourier transform, the complex Wigner transform and the entangled Wigner operator in EPR entangled state representation. Physica Scripta 78:3, pages 035003.
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