  Warm dense matter (WDM)--an exotic, highly compressed state of matter between
solid and plasma phases is of high current interest, in particular for
astrophysics and inertial confinement fusion. For the latter, in particular the
propagation of compression shocks is crucial. The main unknown in the shock
propagation in WDM is the behavior of the electrons since they are governed by
correlations, quantum and spin effects that need to be accounted for
simultaneously. Here we describe the shock dynamics of the warm dense electron
gas using a quantum hydrodynamic model. From the numerical hydrodynamic
simulations we observe that the quantum Bohm pressure induces shear force which
weakens the formation and strength of the shock. This is confirmed by the
theoretical analysis of the early stage of the shock formation. Our theoretical
and numerical analysis allows us to identify characteristic dimensionless shock
propagation parameters at which the effect of the Bohm force is important.
