Maximal dissipative Schrodinger operators are studied in L2((−∞,∞);E) (dimE=n<∞) that the extensions of a minimal symmetric operator with defect index (n,n) (in limit-circle case at −∞ and limit point-case at ∞). We construct a selfadjoint dilation of a dissipative operator, carry out spectral analysis of a dilation, use the Lax–Phillips scattering theory, and find the scattering matrix of a dilation. We construct a functional model of the dissipative operator, determine its characteristic function in terms of the Titchmarsh–Weyl function of selfadjoint operator and investigate its analytic properties. Finally, we prove a theorem on completeness of the eigenvectors and associated vectors of a dissipative Schrodinger operators.