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Convolution Theorem of Fractional Fourier Transformation Derived by Representation Transformation in Quantum Mechancis |
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| Authors: | FAN Hong-Yi HAO Ren LU Hai-Liang |
| Affiliation: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
| Abstract: | Based on our previous paper (Commun. Theor. Phys. 39 (2003) 417) we derive the convolution theorem of fractional Fouriertransformation in the context of quantum mechanics, which seems a convenientand neat way. Generalization of this method to the complex fractionalFourier transformation case is also possible. |
| Keywords: | fractional Fourier transformation convolutiontheorem quantum mechanical representation transform |
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