The quantum langevin forces for dynamical systems with linear dissipation and the Lindblad equation

The general form of the quantum master equation (the Lindblad-Kossakowski equation) for linear and nonlinear systems with linear dissipation is considered. This equation and the quantum regression theorem are used for finding two-time commutators and symmetrized moments of the Langevin forces. The obtained properties of the forces are unusual for physical systems interacting with the environment systems. In the last section the random Hamiltonian and the corresponding stochastic equations are considered.