title: New complex integration transformation and its compatibility with complex Weyl-Wigner transformation and entangled state representation.
abstract: Enlightened by the special transformation in our preceding paper [J. Mod. Opt. 56, 1227 (2009)], we propose a new complex integration transformation corresponding to two mutually conjugate two-mode entangled states <eta| and <xi| that is compatible with eta-xi phase space quantum mechanics and can be used to obtain the complex fractional Fourier transformation kernel from the chirplet function. This transformation obeys the Parseval theorem and is invertible.
authors.affiliation: Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China.
authors.forename: Hong-yi
authors.initials: HY
authors.lastname: Fan
authors.forename: Cui-hong
authors.initials: CH
authors.lastname: Lv