PHASE-SPACE PICTURE OF SQUEEZING VIA DRIVEN GENERALIZED PARAMETRIC OSCILLATOR

In the present work we study the phase space picture of squeezing usin g the model of the driven generalized parametric oscillator. Exploitin g the SU(1, 1) + h(4) algebraic structure of the Wigner operator we fi nd the exact solution of the time dependent Wigner equation as well as the variances of the operators q and p. Due to the fact that we have not any violation of the Liouville's theorem, this model is appropriat e to study pure quantum effects (for instance tunneling time) with the classical trajectory molecular dynamics technique.