Quantum mechanics in dissipative systems

The phenomenologic quantum equations - the CK's equation and the Kostin's nonlinear Schrödinger-Lagenvin equation corresponding to the classical linear dissipative systems are discussed by methods of SQP. The physical content of such equations is displayed more clearly in the so-called Madelung-form i. e. the hydrodynamical picture of quantum theory. The lagrangian densities L corresponding to these equations are investigated as well. Especially, the nonreality of the Kostin's Hamiltonian or nonhermitianity of the Kostin's Hamiltonian operator is discussed.