Spatial confinement effects on quantum field theory using nonlinear coherent states approach

TL;DR

This paper explores how spatial confinement impacts quantum field properties by employing a nonlinear coherent states approach, revealing deformation effects on electromagnetic fields and proposing a method to generate such states.

Contribution

It introduces a deformation function to model confinement effects within nonlinear coherent states and constructs a quantum field theory in confined space.

Findings

Confinement induces nonlinear interactions in the electromagnetic field.

Deformation function effectively models spatial confinement effects.

Proposes a scheme to generate nonlinear coherent states in confined regions.

Abstract

We study some basic quantum confinement effects through investigation a deformed harmonic oscillator algebra. We show that spatial confinement effects on a quantum harmonic oscillator can be represented by a deformation function within the framework of nonlinear coherent states theory. Using the deformed algebra, we construct a quantum field theory in confined space. In particular, we find that the confinement influences on some physical properties of the electromagnetic field and it gives rise to nonlinear interaction. Furthermore, we propose a physical scheme to generate the nonlinear coherent states associated with the electromagnetic field in a confined region.