On generalized oscillator algebras and their associated coherent states

TL;DR

This paper introduces a unified method for deriving structure functions from deformed oscillator algebra relations and proposes a natural approach to constructing their associated coherent states.

Contribution

It provides a systematic way to calculate structure functions and develop coherent states for deformed oscillator algebras, advancing the theoretical framework.

Findings

Unified method for structure function calculation

Natural approach to coherent state construction

Framework applicable to various deformed algebras

Abstract

A unified method of calculating structure functions from commutation relations of deformed single-mode oscillator algebras is presented. A natural approach to building coherent states associated to deformed algebras is then deduced.