Hamiltonian mechanics.
نویسندگان
چکیده
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. Then they suggest to restore invariance by including a pre-factor. This Comment points out that no modifications of the existing theory are needed. Giving a Hamiltonian structure amounts indeed to giving a Hamiltonian and a Poisson-bracket which satisfies the Jacobi identity; the equations of motion read ˙
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