  The Path Integral Quantum Trajectory (PIQTr) model is introduced as a new
computational tool for the study of non-relativistic, quantum mechanical wave
packets. We introduce the numerical algorithm and show that one of the primary
advantages of the PIQTr model is its ability to efficiently handle heavy mass
particles, while still resulting in a numerically exact answer. We then apply
the model to the study of matter Airy beam particles and show that the recovery
time of a damaged wave packet increases approximately with mass, but is
independent of momentum, velocity, and wave packet width.
