DRIVEN QUANTUM HARMONIC-OSCILLATORS LINEARLY COUPLED TO ANOTHER NON-DRIVEN OSCILLATOR - A DYNAMIC STUDY

The dynamics of a driven quantum harmonic oscillator linearly coupled to another oscillator that is non driven is studied in relation to the boundary conditions according to which the oscillators are at initial time in their ground state. The calculations are performed in the fra mework of the normal ordering formalism involving normal order Bosons. It is Sound that the full-time evolution operator of the system facto rizes into the reduced evolution operators of both oscillators, which appear to be those of coherent states. Parameters characterizing these coherent states may be expressed in terms of the quantum energies of the oscillators, of the driven parameter and of the coupling energy be tween the oscillators.