科研之友
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摘要
Based on the displacement-squeezing related squeezed coherent state representation vertical bar z >(g) and using the technique of integration within an ordered product of operators, this paper finds a generalized Fresnel operator, whose matrix element in the coordinate representation leads to a generalized Collins formula (Huygens-Fresnel integration transformation describing optical diffraction). The generalized Fresnel operator is derived by a quantum mechanical mapping from z to sz - rz* in the vertical bar z >(g) representation, while vertical bar z >(g) in phase space is graphically denoted by an ellipse.
