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We present the schematic calculations within the Langevin approach in orderto investigate the dependence of fission width on the memory time and theexcitation energy at low temperatures where the quantum fluctuations play animportant role. For this we consider the simple one-dimensional case with thepotential energy given by two parabolic potentials (Kramers potential). Forfriction and the mass parameters we use the deformation independent valuesfitted to the results obtained earlier within the microscopic linear responsetheory. We have found out that at small excitation energies (comparable withthe fission barrier height) the memory effects in the friction and random forceacts on the fission width in opposite direction. The total effect is not solarge, but still quite noticeable (depending on the value of the relaxationtime). The use of effective temperature in the diffusion coefficient turns outto be much more important compared with the memory effects. The calculatedfission width at very low excitation energies is unrealistically too big.

Memory effects in Langevin approach to the nuclear fission process