- Tytuł:
- Local Gauge and Magnetic Translation Groups
- Autorzy:
- Florek, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/1964708.pdf
- Data publikacji:
- 1997-08
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
11.15.Ha
05.50.+q
71.45.-d
02.20.-a - Opis:
- The magnetic translation group was introduced as a set of operators T(R)=exp[-iR·(p-eA/c)/h]. 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$\text{}_{R}$(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 a factor system ω(R,R') = T(R)T(R')T(R+R')$\text{}^{-1}$, which depends on a global gauge only. Moreover, for any potential A a commutator T(R)T(R')T(R)$\text{}^{-1}$T(R')$\text{}^{-1}$ depends only on the magnetic field and not on the gauge.
- Źródło:
-
Acta Physica Polonica A; 1997, 92, 2; 399-402
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł