Local Gauge and Magnetic Translation Groups

• Authors: W. Florek
• Languages of publication: EN

Abstracts

EN

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_{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')^{-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.

Keywords

EN

11.15.Ha; 05.50.+q; 71.45.-d; 02.20.-a

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1997
• Volume: 92
• Issue: 2
• Pages: 399-402

Dates

published

1997-08

Contributors

author

W. Florek

• Institute of Physics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland