  We demonstrate a new method of simulation of nonstationary quantum processes,
considering the tunneling of two {\it interacting identical particles},
represented by wave packets. The used method of quantum molecular dynamics
(WMD) is based on the Wigner representation of quantum mechanics. In the
context of this method ensembles of classical trajectories are used to solve
quantum Wigner-Liouville equation. These classical trajectories obey
Hamilton-like equations, where the effective potential consists of the usual
classical term and the quantum term, which depends on the Wigner function and
its derivatives. The quantum term is calculated using local distribution of
trajectories in phase space, therefore classical trajectories are not
independent, contrary to classical molecular dynamics. The developed WMD method
takes into account the influence of exchange and interaction between particles.
The role of direct and exchange interactions in tunneling is analyzed. The
tunneling times for interacting particles are calculated.
