Mixed excitation- and deexcitation-operator coherent states for the SU(1,1) group

Squeezed coherent states associated with the SU(1,1) group defined by ({μ}a²+{ν}a^^∘2){}{ψ}〉={λ}{}{ψ}〉, {}{μ}²-{}{ν}²=1 are studied in detail. An explicit expression for the quasidistribution Q({α},α*) in terms of the parabolic cylindrical functions is derived. The nonclassical properties of these states are discussed. The possibility of producing SU(1,1) squeezed coherent states using the down-conversion process is also demonstrated.