Anharmonic Noncommutative Oscillator at Finite Temperature

TL;DR

This paper investigates how anharmonic noncommutative oscillators behave at finite temperature, focusing on the effects of self-interaction on their thermodynamic properties.

Contribution

It provides the first-order calculation of the impact of quartic self-interaction on free energy and partition function in both classical and quantum noncommutative oscillators.

Findings

Self-interaction modifies free energy and partition function.

Quantum and classical models show similar first-order effects.

Results enhance understanding of noncommutative thermodynamics.

Abstract

Classical and quantum anharmonic noncommutative oscillators with quartic self-interacting potential are considered and the effect of self-interaction term on the free energy and partition function of both models is calculated to first order in coupling constant.