Abstract
The driven damped quantum harmonic oscillator perturbed by the parity operator, is studied in the framework of the reduced density operator formalism. Benefit is taken of the closed approach of Louisell and Walker to find the dynamics of the system. The starting point is the reduced density operator found by Louisell and Walker for the driven damped harmonic oscillator. This allows to extract a zeroth-order time evolution operator, which is then used in the interaction picture, in a rather unusual way, to obtain by perturbative expansion the time evolution of the reduced density operator of the full damped oscillator. An application of the model may be the spectral density of symmetric double dimers involving H-bonded species for which Witkowski has shown that the parity operator occurs in the Hamiltonian because of vibronic coupling.
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