Diamagnetismo de Landau Q-deformado imerso em D-dimensões.

Abstract

We address the issue of generalizing the thermodynamic quantities via q-deformation, i.e., through the q-algebra which describes q-bosons and q-fermions. The motivation for our study is the lack of a full understanding of the physical origin of the q-deformation, and we attempt to find it with your application acting as a factor of disorder or impurity modifying the characteristics of a crystalline structure (the case of semiconductors, for example). In the present case, we apply to the Landau diamagnetism problem embedded in a D-dimensional space. We obtain new results for internal energy, number of particles, magnetization and magnetic susceptibility, which recover their well-known values in the literature in the limit q → 1. The fact that the thermodynamic quantities presented depend on the number of dimensions D, enables us to extend the your application to extra-dimensional systems, such as Modern Cosmology, Particle Physics and String Theory.