  We present the schematic calculations within the Langevin approach in order
to investigate the dependence of fission width on the memory time and the
excitation energy at low temperatures where the quantum fluctuations play an
important role. For this we consider the simple one-dimensional case with the
potential energy given by two parabolic potentials (Kramers potential). For
friction and the mass parameters we use the deformation independent values
fitted to the results obtained earlier within the microscopic linear response
theory. We have found out that at small excitation energies (comparable with
the fission barrier height) the memory effects in the friction and random force
acts on the fission width in opposite direction. The total effect is not so
large, but still quite noticeable (depending on the value of the relaxation
time). The use of effective temperature in the diffusion coefficient turns out
to be much more important compared with the memory effects. The calculated
fission width at very low excitation energies is unrealistically too big.
