Comment on "Induced transitions and energy of a damped oscillator"

In a recent paper Croxson [Phys. Rev. A 49, 588 (1994)] reported dissipatio n-induced transition probabilities from the ground state to higher states f or a quantum harmonic oscillator. A partial approximate result was given fo r the oscillator to remain in its ground state, while for higher transition s the situation became complicated. Our approach provides an exact simple f orm closed expression for any order of transition. In addition, we supply t he evolution of the work done by the system on its environment. [S1050-2947 (99)00603-4].