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arxiv: 0902.1800 · v1 · pith:26SA4JDSnew · submitted 2009-02-11 · 🪐 quant-ph

Optical transformation from chirplet to fractional Fourier transformation kernel

classification 🪐 quant-ph
keywords transformationchirpletfourierfractionalfunctionkernelconvertcorrespondence
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We find a new integration transformation which can convert a chirplet function to fractional Fourier transformation kernel, this new transformation is invertible and obeys Parseval theorem. Under this transformation a new relationship between a phase space function and its Weyl-Wigner quantum correspondence operator is revealed.

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