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For Lindblad's master equation of open quantum systems with a generalquadratic form of the Hamiltonian, the propagator of the density matrix isanalytically calculated by using path integral techniques. The time-dependentdensity matrix is applied to nuclear barrier penetration in heavy ioncollisions with inverted oscillator and double-well potentials. The quantummechanical decoherence of pairs of phase space histories in the propagator isstudied and shown that the decoherence depends crucially on the transportcoefficients.Comment: 13 pages, 4 figures, submitted to J.Phys.

Effect of transport coefficients on the time dependence of a density matrix