Comment on " Berry phase correction to electron density in solids " by Xiao et al. Abstract The main result of Xiao et al. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville's theorem on the conservation of the phase-space volume element would be violated, a fact which would have been overlooked so far....

In this paper we have studied a new Non-Commutative (NC) space with an operatorial form of noncommutativity. A point particle in this space feels the interaction of a magnetic field, that is singular at a specific position θ −1. Here θ is the NC parameter and plays the role of particle charge as well. The magnetic moment of the particle is computed and its dynamics is studied in detail, both fr...