The Caldeira-Leggett model for a one-dimensional system with coordinate $X$ and momentum $P$ is given by the Hamiltonian$$\frac{P^2}{2m} + V(X) + \sum_i \frac 1 2 p_i^2 + \frac 1 2 \omega_i^2 \left(...

Vibrational relaxation can be described in terms of a harmonic oscillator coupled to a harmonic bath. This is easy to do, since there is only one system coordinate to which the bath couples.However, ...