Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis

We consider the behavior of electrons in an external uniform magnetic field (B) over right arrow where the space coordinates perpendicular to are taken as noncommuting. This results in a generalization of standard thermodynamics. Calculating the susceptibility, we find that the usual Landau diamagnetism is modified. We also compute the susceptibility according to the nonextensive statistics of Tsallis for (1 - q) much less than 1, in terms of the factorization approach. Two methods agree under certain conditions. (C) 2001 Elsevier Science B.V. All rights reserved.