q-Deformed Landau diamagnetism problem embedded in D-dimensions

TL;DR

This paper explores the effects of q-deformation on Landau diamagnetism in D-dimensional spaces, deriving new thermodynamic expressions that generalize classical results and recover known values as q approaches 1.

Contribution

It introduces a generalized q-deformed framework for Landau diamagnetism in arbitrary dimensions, providing new formulas for thermodynamic quantities.

Findings

Derived q-deformed internal energy, particle number, magnetization, and susceptibility.

Recovered classical results in the limit q→1.

Extended Landau diamagnetism analysis to D-dimensional spaces.

Abstract

We address the issue of generalizing the thermodynamic quantities via $q$-deformation, i.e., via the $q$-algebra that describes $q$-bosons and $q$-fermions. In this study with the application of $q$-deformation to the Landau diamagnetism problem in two dimensions, embedded in a $D$-dimensional space, we will attempt to get a better understanding of the $q$-deformation. We obtain new results for q-deformed internal energy, number of particles, magnetization and magnetic susceptibility, which recover the values already known in the literature in the limit $q\to1$.