  The electronic structures of element cerium under high pressure remain
unclear all the time. We tried to calculate the electronic structures of
$\alpha'$, $\alpha"$, and $\epsilon$-Ce which only exist in the presence of
pressure, by using the combination of traditional density functional theory and
single-site dynamical mean-field theory. The momentum-resolved band structures,
total and partial density of states, 4$f$ electronic configurations of these
phases were exhaustively studied. We found that the 4$f$ electrons tend to be
itinerant, and the hybridizations between the 4$f$ and $spd$ conduction
electrons are remarkable. In addition, the fluctuations among the 4$f$ atomic
eigenstates are prominent, especially for the $\epsilon$ phase, which leads to
a slight modification of its 4$f$ occupancy.
