Dynamics of semiclassical Bloch wave packets
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 424-438

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The semiclassical approximation for electron wave packets in crystals leads to equations that can be derived from a Lagrangian or, under suitable regularity conditions, in a Hamiltonian framework. We use the method of coadjoint orbits applied to the “enlarged” Galilei group to study these issues in the plane.
Keywords: wave packet, semiclassical dynamics, Berry phase, Hamiltonian mechanics.
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P. A. Horváthy; L. Martina. Dynamics of semiclassical Bloch wave packets. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 424-438. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a9/