Marginal and correlation distribution functions in the squeezed-states representation

Here we consider the Husimi function (HF) P for the squeezed states and cal culate the marginal and correlation distribution functions (MDFs and CDFs) when P is projected onto the photon-number states. According to the value o f the squeezing parameter one verifies the occurence of oscillations and be ats as already appointed in the literature. We verify that these phenomena are entirely contained in the correlation function. In particular, we show that since the Husimi and its MDFs satisfy partial differential equations w here the squeeze parameter plays the role of time, the solutions (the squee zed functions obtained from 'initial' unsqueezed functions) can be expresse d by means of kernels responsible for the 'propagation' of squeezing. From the calculational point of view, this method presents advantages for calcul ating the MDFs (compared with a direct integration over one of the two phas e-space variables of P) since one can use the symmetry properties of the di fferential equations.