“…In equation ( 70), q− n , p− n are the initial amplitude and conjugate momentum of the field's modes, respectively. In equation ( 71) instead, G − n (t) = θ(t)g − n (t) with g − n (t) = sin(ω n t)/ω n , is the retarded Green function for equation (68), with vanishing initial conditions. By using equations ( 69)-( 71), the equation governing the time evolution of the idf, that includes the back-reaction from the field, takes the form:…”