q-deformed Landau diamagnetism problem embedded in D-dimensions

AbstractWe 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