A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications

Tiju Cherian John, K. R. Parthasarathy

Let $\Gamma (\mathcal{H})$ be the boson Fock space over a finite dimensional Hilbert space $\mathcal{H}$. It is shown that every gaussian symmetry admits a Klauder-Bargmann integral repr…