On quantum spreading of a localized stationary flow of high energy particles

TL;DR

This paper investigates how high-energy particles' quantum wave packets spread and stabilize during propagation, revealing that higher energies slow spreading and maintain packet shape, simplifying calculations in external fields.

Contribution

It introduces findings on the energy-dependent behavior of quantum spreading and stabilization of localized flows, aiding approximate method applications.

Findings

Spreading speed decreases with increasing particle energy.

Higher energies stabilize the localized wave packet.

Simplifies wave function calculations in external fields.

Abstract

The study addresses the quantum spreading of a localized stationary flow of high energy particles. Results demonstrate that as particle energy increases, the spreading speed of the particle wave packet diminishes rapidly. Concurrently, increasing the energies stabilizes the initially localized packet, preserving its transverse form in a vacuum over extended distances. This allows substantial simplifications when using various approximate methods to calculate the wave function in an external field.