  The U(2) invariant approach is delineated for the pair coherent states to
explore their squeezing properties. This approach is useful for a complete
analysis of the squeezing properties of these two-mode states. We use the
maximally compact subgroup U(2) of Sp(4,R) to mix the modes, thus allowing us
to search over all possible quadratures for squeezing. The variance matrix for
the pair coherent states turns out to be analytically diagonalisable, giving us
a handle over its least eigenvalue, through which we are able to pin down the
squeezing properties of these states. In order to explicitly demonstrate the
role played by U(2) transformations, we connect our results to the previous
analysis of squeezing for the pair coherent states.
