Abstract

A group-theoretical approach to the quantum Liouville equation for the damped oscillator is presented. The method allows solutions of master equations with prescribed long-time behavior. As an example, the master equation of a boson field relaxing toward a time-dependent coherent state is analyzed. The solution of more general master equations is sketched in the framework of a Liouville picture, the analogue of the Dirac picture in this context.

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