On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature

Details On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature

2005-07-21

arxiv.org/abs/cond-mat/0507499v3

Phys. Lett. A 351 (2006) 123-124

Physics

Condensed Matter

Other Condensed Matter

3 pages, to appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2005.10.087

We consider the semiclassical equations of motion of a particle when both an external electromagnetic field and the Berry gauge field in the momentum space are present. It is shown that these equations are Hamiltonian and relations between the canonical and covariant variables are determined through a consistent account of all components of the Berry connection. The Jacobian of the canonical-to-covariant-variables transformation describes the nonconservation of the 'naive' phase space volume in the covariant coordinates (D.Xiao, J.Shi, and Q.Niu, Phys. Rev. Lett. 95, 137204 (2005)).

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