In this note, we attempt to show that the quantum wavefunction, when written as a Fourier series, contains terms which contain physical periodic motion, both in space and time, which represent mass being added and removed at different points in space. Thus, in some places the wavefunction is negative (matter being removed) and in others positive. This implies that kinetic energy is also being added or removed in these places. Thus, it is argued that there is physical wave type motion in a quantum particle, but it is of a strange nature, namely it is based on the addition and removal of matter. This addition and removal of matter already exists for a particle that is not translating in one direction. We have used the 2x2 matrix model of (1) to argue that a non-translating particle is bouncing back and forth and contains periodic acceleration throughout space which gives rise to this periodic addition and removal of matter. We have argued that a similar process should occur in a potential as it can couple to a wavefunction (when written as a Fourier series) to create new resonances which also represent the periodic addition and removal of mass. We have used this interpretation to describe the effects of the quantum evolution operator exp(iHt) and finally, have argued that this periodic removal and addition of mass is responsible for zitterbewegung.