Abstract
We describe the dynamics of a generalized Husimi function for a two-mode harmonic oscillator representation. The time evolution equation is derived through a normally ordered technique which is shown to be convenient for describing dynamical systems with SU(2) symmetry. We obtain an exact solution in phase space for a quantum nonlinear system described by a Kerr medium initially in a two-mode coherent state. We study in detail the evolution of this system and explain some particular effects exhibited during the process.
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