Coherent states in the presence of a variable magnetic field

TL;DR

This paper introduces magnetic coherent states for particles in variable magnetic fields, providing a pure state quantization of phase space with a magnetic symplectic form, advancing the mathematical framework of quantum mechanics.

Contribution

It presents a novel construction of magnetic coherent states that incorporate variable magnetic fields into phase space quantization.

Findings

Defines magnetic coherent states for variable magnetic fields

Establishes a pure state quantization framework

Connects magnetic symplectic form with quantum states

Abstract

We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R^{2N} endowed with a magnetic symplectic form.