2020/03/09 by Garcia-Chung, Angel
#FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2003.04257
In this paper we show the relation between sp(4,ℝ), the Lie algebra of the symplectic group, and the elements of the symplectic group Sp(4,ℝ). We use this relation to provide a classical analog of the squeeze operator \widehatS(ζ). This classical squeeze matrix shares some similarities with the correlation matrix \bf V(2) and its amount of squeezing is half of that in the correlation matrix.