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In this work, our purpose is to show how the symmetry of identical particlescan influence the time evolution of free particles in the nonrelativistic andrelativistic domains. For this goal, we consider a system of either twodistinguishable or indistinguishable (bosons and fermions) particles. Twoclasses of initial conditions have been studied: different initial locationswith the same momenta, and the same locations with different momenta. Theflight time distribution of particles arriving at a `screen' is calculated ineach case. Fermions display broader distributions as compared with eitherdistinguishable particles or bosons, leading to earlier and later arrivals forall the cases analyzed here. The symmetry of the wave function seems to speedup or slow down propagation of particles. Due to the cross terms, certaininitial conditions lead to bimodality in the fermionic case. Within thenonrelativistic domain and when the short-time survival probability isanalyzed, if the cross term becomes important, one finds that the decay of theoverlap of fermions is faster than for distinguishable particles which in turnis faster than for bosons. These results are of interest in the short timelimit since they imply that the well-known quantum Zeno effect would bestronger for bosons than for fermions.Fermions also arrive earlier than bosonswhen they are scattered by a delta barrier. Furthermore, the particle symmetrydoes not affect the mean tunneling flight time and it is given by the phasetime for the distinguishable particle.

The influence of the symmetry of identical particles on flight times