In Figure , we show the corresponding coherence distributions for the three time steps. Within the branching region (see Figures and), FSSH-wf exhibits an erroneous long-range oscillation pattern for x > -1 because the wavefunctions of transmitted trajectories retain overcoherent. With branching correction, both BCSH-wf and BCSH-cc eliminate the oscillations and give more accurate oscillating phases of the coherence distribution. In particular, BCSH-cc produces more accurate oscillating amplitudes. After trajectory branching at t = 4200 au, both BCSH-wf and BCSH-cc can recover the exact quantum results. For FSSH-wf, the results are completely wrong, and residual oscillations are still present in the transmission region.