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1997 | 92 | 2 | 399-402
Article title

Local Gauge and Magnetic Translation Groups

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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
Year
Volume
92
Issue
2
Pages
399-402
Physical description
Dates
published
1997-08
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Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv92z233kz
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