An extension of time-dependent density functional theory (TDDFT), the generalized time-dependent generator coordinate method (TDGCM) is applied to a study of induced nuclear fission dynamics. In the generalized TDGCM, the correlated nuclear wave function is represented as a coherent superposition of time-dependent DFT trajectories. In the first realistic application, a large basis of 25 TDDFT trajectories is employed to calculate the charge yields and total kinetic energy distribution for the fission of ${}^{240}\mathrm{Pu}$. The results are compared with available data, and with those obtained using a standard TDDFT, that does not consider quantum fluctuations, and the adiabatic $\mathrm{TDGCM}+\mathrm{GOA}$ (Gaussian overlap approximation). It is shown that fragment yields and kinetic energies can simultaneously be described in a consistent microscopic framework that includes fluctuations in the collective degrees of freedom and the one-body dissipation mechanism.

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• Fission
• Nuclear density functional theory
• Nuclear many-body theory