q-Deformed Landau diamagnetism problem embedded in D-dimensions
arXiv:0912.4920 · doi:10.1016/j.physa.2011.03.003
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 $q\to1$.
11 pages, revtex, 2 figures, version to appear in Physica A