On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature
arXiv:cond-mat/0507499 · doi:10.1016/j.physleta.2005.10.087
Abstract
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)).
3 pages, to appear in Physics Letters A
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Cited by in corpus (9)
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- Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics
- Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system
- A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
- Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian
- Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
- Gradient expansion of the non-Abelian gauge-covariant Moyal star-product