Motions of electrons in adiabatically perturbed periodic structures
| dc.creator | Panati, Gianluca | |
| dc.creator | Spohn, Herbert | |
| dc.creator | Teufel, Stefan | |
| dc.date | 2007-12-28 | |
| dc.date.accessioned | 2026-07-07T08:51:36Z | |
| dc.date.available | 2026-07-07T08:51:36Z | |
| dc.description | We study the motion of electrons in a periodic background potential (usually resulting from a crystalline solid). For small velocities one would use either the non-magnetic or the magnetic Bloch hamiltonian, while in the relativistic regime one would use the Dirac equation with a periodic potential. The dynamics, with the background potential included, is perturbed either through slowly varying external electromagnetic potentials or through a slow deformation of the crystal. In either case we discuss how the Hilbert space of states decouples into almost invariant subspaces and explain the effective dynamics within such a subspace. | |
| dc.description | 23 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0712.4365 | |
| dc.identifier | http://arxiv.org/abs/0712.4365 | |
| dc.identifier | in A. Mielke (editor), "Analysis, Modeling and Simulation of Multiscale Problems" (Final Report of the DFG Priority Program SPP 1095), Springer, 2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144993 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q15; 81Q20 | |
| dc.title | Motions of electrons in adiabatically perturbed periodic structures | |
| dc.type | text |