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We derive a useful formula for the normal ordering of two-mode operator by the technique of integration within an ordered product (IWOP) of operators. Furthermore, we also calculate the Radon transformations for the coherent state, special squeezed coherent state, intermediary entangled state in the view of the quantum mechanics. Based on the results above, the Mexican hat's mother wavelet function is selected to analyse Ridgelet transformations of these three quantum optical states.
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Keywords:
- IWOP technique /
- radon transform /
- Ridgelet transform
[1] Chuang I L, Nielsen M A 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2] Candes E J 1999 Ridgelets and Their Derivatives Representation of Images with Edges Department of Statistics, Stanford University, Saint-Malo Proceedings, Schumaker L (ed.) pp1-10
[3] Starck J L, Candés E J, Donoho D L 2002 Trans. Image Processing 11 670
[4] Starck J L, Donoho D L, Candes E J 2003 Astron. Astrophys. 398 785
[5] Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[6] Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[7] Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[8] Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[9] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[10] 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 60 084208]
[11] Yu H J, Du J M, Zhang X L 2012 Acta Phys. Sin. 60 164205 (in Chinese) [余海军, 杜建明, 张秀兰 2012 60 164205]
[12] Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[13] Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
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[1] Chuang I L, Nielsen M A 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2] Candes E J 1999 Ridgelets and Their Derivatives Representation of Images with Edges Department of Statistics, Stanford University, Saint-Malo Proceedings, Schumaker L (ed.) pp1-10
[3] Starck J L, Candés E J, Donoho D L 2002 Trans. Image Processing 11 670
[4] Starck J L, Donoho D L, Candes E J 2003 Astron. Astrophys. 398 785
[5] Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[6] Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[7] Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[8] Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[9] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[10] 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 60 084208]
[11] Yu H J, Du J M, Zhang X L 2012 Acta Phys. Sin. 60 164205 (in Chinese) [余海军, 杜建明, 张秀兰 2012 60 164205]
[12] Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[13] Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
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