  Previously developed ``stochastic representation of deterministic
interactions`` enables exact treatment of an open system without leaving its
native phase space (Hilbert space) due to peculiar stochastic extension of the
Liouville (von Neumann) equation for its statistical operator. Can one
reformulate the theory in terms of stochastic ``Langevin equations'' for its
variables? Here it is shown that in case of classical Hamiltonian underlying
dynamics the answer is principally positive, and general explicit method of
constructing such equations is described.
