Coherent states in a magnetic field and their generalizations

TL;DR

This paper reviews the development of coherent and squeezed states for a charged particle in a magnetic field over the past 50 years, highlighting Gaussian and non-Gaussian state families and their generalizations.

Contribution

It provides a comprehensive overview of the various families of coherent and squeezed states in a magnetic field, including recent non-Gaussian generalizations.

Findings

Multiple families of coherent states are summarized.

Non-Gaussian states are discussed alongside Gaussian states.

Historical development over 50 years is reviewed.

Abstract

This is a brief review of various families of coherent and squeezed states (and their generalizations) for a charged particle in a magnetic field, that have been constructed for the past 50 years. Although the main attention is paid to the Gaussian states, various families of non-Gaussian states are also discussed, and the list of relevant references is provided.