Coherent and Semiclassical States of a Charged Particle in a Constant Electric Field

TL;DR

This paper constructs generalized coherent states for a charged particle in a constant electric field using integrals of motion, identifying conditions under which these states exhibit semiclassical behavior.

Contribution

It introduces a method to generate families of coherent states for a charged particle in an electric field, highlighting how initial uncertainties and field strength influence semiclassical properties.

Findings

Families of states with different initial uncertainties are constructed.

Some states exhibit semiclassical behavior depending on initial conditions and electric field.

The method provides a way to analyze quantum-classical correspondence in charged particles.

Abstract

The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard deviations at the initial time, are obtained. Depending on the initial values of the standard deviations, and also on the electric field, it turns out to be possible to identify some families with semiclassical states.