Coherent states for free particles

TL;DR

This paper reviews the concept of coherent states in quantum mechanics, focusing on free particles, highlighting their relation to the Galilei group and Husimi distribution, and emphasizing their educational value.

Contribution

It provides a detailed review of coherent states for free particles, including their mathematical properties and physical interpretations, with an emphasis on didactic advantages.

Findings

Coherent states relate to the Galilei group.

Coherent states connect with the Husimi distribution.

The formalism offers educational benefits.

Abstract

The coherent states are reviewed with particular application to the free particle system. The didactic advantages of the formalism is emphasized. Several interesting features, like the relation of the coherent states with the Galilei group and with the Husimi distribution are presented. Keywords: quantum mechanics, coherent states, free particle.