Local gauge and magnetic translation groups

Дата и время публикации : 1998-03-07T13:53:46Z

Авторы публикации и институты :
Wojciech Florek

Ссылка на журнал-издание: Acta Phys. Pol. A vol. 92 (1997) 399-402
Коментарии к cтатье: Latex 2.09, RevTex,3 pages, amsfonts
Первичная категория: cond-mat.mes-hall

Все категории : cond-mat.mes-hall

Краткий обзор статьи: 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 omega(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.

Category: Physics