Local gauge and magnetic translation groups
| dc.creator | Florek, Wojciech | |
| dc.date | 1998-03-07 | |
| dc.date.accessioned | 2026-07-07T03:10:05Z | |
| dc.date.available | 2026-07-07T03:10:05Z | |
| dc.description | The magnetic translation group was introduced as a set of operators T(R)=\exp[-iR.(p-eA/c)/\hbar]. However,these operators commute with the Hamiltonian for an electron in a periodic potential and a uniform magnetic field if the vector potential A (the gauge) is chosen in a symmetric way. It is showed that a local gauge field A_R(r) on a crystal lattice leads to operators, which commute with the Hamiltonian for any (global) gauge field A=A(r). Such choice of the local gauge determines afactor system ω(R,R')= T(R)T(R') T(R+R')^{-1}, which depends on a global gauge only. Moreover, for any potential A a commutator T(R)T(R')T(R)^{-1}T(R')^{-1} depends only on the magnetic field and not on the gauge. | |
| dc.description | Latex 2.09, RevTex,3 pages, amsfonts | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9803082 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9803082 | |
| dc.identifier | Acta Phys. Pol. A vol. 92 (1997) 399-402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28134 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Local gauge and magnetic translation groups | |
| dc.type | text |