Features of the Propagation, Evolution, and Remote Collapse of a Correlated Wave Packet

The features of the spatial propagation and the evolution of a free correlated wave packet describing the process of particle motion are considered. It is shown that, unlike an “ordinary” noncorrelated packet, for which the process of spatial “spreading” and defocusing begins with the instant of its creation, in the case of a moving correlated packet, in the initial state, a self-simulated self-compression process occurs to the collapse state at a given distance; then the accelerated “spreading” mode is implemented. Some methods for forming such a packet and the possibility of using it in applied problems for particle and energy transport and for the aims of medical hyperthermia are considered.