INVESTIGATION ON THE MULTIDIMENSIONAL NUCLEAR FISSION DYNAMICS

The expression of multidimensional fission rate with quantum effect at finite temperature has been obtained by menus of the approach of path integral expressed as Fourier series. The covariant form of the fission diffusion equations and the quantities related to it under general coordinate transformations in phase space are studied. The differences between two or three-dimensional and one-dimensional cases are analyzed carefully by using the c, h, \alpha parametrization. The realistic Langevin calculations of two-dimensional transient rate are compared with the one-dimensional case and generalized Kramers rate formula.