General solutions to the eigenvalue equation for amplitude-squared squ
eezed minimum uncertainty states have been found and investigated. An
expression for the average photon number in these states is derived. T
he Q-function as well as the photocount distribution of these states h
as been investigated. Plots of Q-functions indicate that the 'manner'
of amplitude-squared squeezing is different from that of normal squeez
ing. It is shown that twofold and fourfold symmetry of Q-function in p
hase space is related to the suppression of certain terms of the photo
count probability for a quantum state. Finally, oscillation of the pho
tocount probability in highly squeezed minimum uncertainty states for
amplitude-squared squeezing has been found and interpreted in terms of
'interference in phase space'.