The theory of dynamical stability of wave packets

Abstract

In this article we show that a wave packet for massive particles can save pseudo stability, if it is composed with a discrete set of harmonics. This packet, after periodicity in a consequence of dispersion, is reconstructed at some smearing. Such behavior is denoted in this paper as dynamical stability and may be used as an illustration of a particle moving through physical vacuum, that is characterized by periodic annihilations with appropriate antiparticles and delivery of its momentum to the next identical particle.