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    Lie algebraic treatment of the quadratic invariants for a quantum system

    We consider the problem of the time-dependent degenerate parametric amplifier. We obtain the quadratic invariant and use it to derive the wave function via its su(1, 1) algebraic basis and a unitary transformatio...

    M. Sebawe Abdalla, P. G. L. Leach in Theoretical and Mathematical Physics (2009)