Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances

In the Schroedinger picture, we find explicit solutions for two models of degenerate parametric oscillators in the case of multiparameter squeezed input photons. The corresponding photon statistics and Wigner's function are also derived in coordinate representation. Their time evolution is investigated in detail. The unitary transformation is briefly discussed too.