Physical nonlinear aspects of classical and quantum q-oscillators

TL;DR

This paper explores the nonlinear characteristics of classical and quantum q-oscillators, analyzing their thermodynamic and correlation properties to suggest experimental verification methods.

Contribution

It introduces a framework for interpreting q-deformation as nonlinearity and computes observable effects on specific heat and correlation functions.

Findings

Q-deformation affects specific heat and correlation functions.

Theoretical predictions can guide experimental tests.

Nonlinear effects are significant in q-oscillator behavior.

Abstract

The classical limit of quantum q-oscillators suggests an interpretation of the deformation as a way to introduce non linearity. Guided by this idea, we considered q-fields, the partition fumction, and compute a consequence on specific heat and second order correlation function of the q-oscillator which may serve for experimental checks for the non linearity.