  Quantum mechanics of a general one dimensional dissipative system
investigated by it's coupling to a Klein-Gordon field as the environment using
a minimal coupling method. Heisenberg equation for such a dissipative system
containing a dissipative term proportional to velocity obtained. As an example,
quantum dynamics of a damped harmonic oscillator as the prototype of some
important one dimensional dissipative models investigated consistently. Some
transition probabilities indicating the way energy flows between the subsystems
obtained.
