Dynamics of semiclassical Bloch wave - packets
arXiv:cond-mat/0611352 · doi:10.1007/s11232-007-0065-5
Abstract
The semiclassical approximation for electron wave-packets in crystals leads to equations which can be derived from a Lagrangian or, under suitable regularity conditions, in a Hamiltonian framework. In the plane, these issues are studied %in presence of external fields using the method of the coadjoint orbit applied to the ``enlarged'' Galilei group.
15 pages, Talk given at Nonlinear Physics. Theory and Experiment. IV,Gallipoli (Lecce), Italy - June 22 - July 1, 2006
References in corpus (10)
- Noncommutative Field Theory
- Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
- Berry phase, hyperorbits, and the Hofstadter spectrum
- The exotic Galilei group and the "Peierls substitution"
- Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
- Monopole and Berry Phase in Momentum Space in Noncommutative Quantum Mechanics
- Nonrelativistic anyons in external electromagnetic field
- Anyons with anomalous gyromagnetic ratio & the Hall effect
- Enlarged Galilean symmetry of anyons and the Hall effect
- Comments on spin-orbit interaction of anyons