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Joint Wavelet–Fractional Fourier Transform |
| Jun Song1**, Rui He1, Hao Yuan1, Jun Zhou1, Hong-Yi Fan2 |
1Department of Material and Chemical Engineering, West Anhui University, Lu'an 237012
2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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Jun Song, Rui He, Hao Yuan et al 2016 Chin. Phys. Lett. 33 110302 |
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Abstract Based on Dirac's representation theory and the technique of integration within an ordered product of operators, we put forward the joint wavelet-fractional Fourier transform in the context of quantum mechanics. Its corresponding transformation operator is found and the normally ordered form is deduced. This kind of transformation may be applied to analyzing and identifying quantum states.
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Received: 14 March 2016
Published: 28 November 2016
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| PACS: |
03.65.Aa
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(Quantum systems with finite Hilbert space)
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03.65.Db
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(Functional analytical methods)
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02.30.Uu
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(Integral transforms)
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| Fund: Supported by the Natural Science Foundation of the Higher Education Institutions of Anhui Province under Grant Nos KJ2013A258 and KJ2013A261. |
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