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CONVOLUTION THEOREM OF THE COMPLEX FRACTIONAL FOURIER TRANSFORMATION DERIVED BY TRANSFORMATION OF ENTANGLED STATES

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China

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HAI-LIANG LU

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

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, and

HAO REN

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

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https://doi.org/10.1142/S0217979207037600Cited by:0 (Source: Crossref)

Abstract

Based on our previous paper [H.-Y. Fan and H.-L. Lu, Int. J. Mod. Phys.19, 799 (2005)] and the two mutually-conjugate entangled state representations, we derive the convolution theorem of complex fractional Fourier transformation in the context of quantum mechanics. This approach seems convenient and neat.

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