Zhang, Ke; Fan, Chengyu; Fan, Hongyi Entangled Fourier transformation and its application in Weyl-Wigner operator ordering and fractional squeezing. (English) Zbl 1422.81048 Int. J. Theor. Phys. 58, No. 5, 1687-1697 (2019). MSC: 81P40 42B10 81S30 81S05 81R30 PDFBibTeX XMLCite \textit{K. Zhang} et al., Int. J. Theor. Phys. 58, No. 5, 1687--1697 (2019; Zbl 1422.81048) Full Text: DOI
Fan, Hong-Yi; Hu, Li-Yun Optical transformation from chirplet to fractional Fourier transformation kernel. (English) Zbl 1180.81169 J. Mod. Opt. 56, No. 11, 1227-1229 (2009). MSC: 81V80 81S30 42A38 PDFBibTeX XMLCite \textit{H.-Y. Fan} and \textit{L.-Y. Hu}, J. Mod. Opt. 56, No. 11, 1227--1229 (2009; Zbl 1180.81169) Full Text: DOI arXiv
Hu, Li-Yun; Fan, Hong-Yi Quantum optical squeezing transform for generalizing fractional Fourier transform. (English) Zbl 1392.42005 Commun. Theor. Phys. 50, No. 4, 951-954 (2008). MSC: 42A38 81P40 81S30 PDFBibTeX XMLCite \textit{L.-Y. Hu} and \textit{H.-Y. Fan}, Commun. Theor. Phys. 50, No. 4, 951--954 (2008; Zbl 1392.42005) Full Text: DOI
Fan, Hong-Yi; Hao, Ren; Lu, Hai-Liang Convolution theorem of fractional Fourier transformation derived by representation transformation in quantum mechancis. (English) Zbl 1392.42004 Commun. Theor. Phys. 50, No. 3, 611-614 (2008). MSC: 42A38 81S30 PDFBibTeX XMLCite \textit{H.-Y. Fan} et al., Commun. Theor. Phys. 50, No. 3, 611--614 (2008; Zbl 1392.42004) Full Text: DOI
Fan, Hong-Yi; Fan, Yue Fractional Fourier transformation for quantum mechanical wave functions studied by virtue of IWOP technique. (English) Zbl 1267.81227 Commun. Theor. Phys. 39, No. 4, 417-420 (2003). MSC: 81S30 26A33 42A38 PDFBibTeX XMLCite \textit{H.-Y. Fan} and \textit{Y. Fan}, Commun. Theor. Phys. 39, No. 4, 417--420 (2003; Zbl 1267.81227) Full Text: DOI