  In the paper, it is studied the influence of Landau-Zener transitions between
nuclear many-body states on the dissipative properties of nuclear
large--amplitude collective motion. Within the cranking-like approach, we
describe the time evolution of a nuclear many-body system as the
self-consistent motion in a space of intrinsic excitations and in a space of a
single collective (deformation) parameter. By that we measure how the spectral
statistics of the nuclear energy levels affects the fission rate at quite large
initial temperatures of heavy nuclei.
