  Applicability of Feynman path integral approach to numerical simulations of
quantum dynamics in real time domain is examined. Coherent quantum dynamics is
demonstrated with one dimensional test cases (quantum dot models) and
performance of the Trotter kernel as compared with the exact kernels is tested.
A novel approach for finding the ground state and other stationary sates is
presented. This is based on the incoherent propagation in real time. For both
approaches the Monte Carlo grid and sampling are tested and compared with
regular grids and sampling. We asses the numerical prerequisites for all of the
above.
