q-deformed Landau diamagnetism problem embedded in D-dimensions

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 → 1 .