Taming of the wild group of magnetic translations

Details Taming of the wild group of magnetic translations Taming of the wild group of magnetic translations

1997-01-04

arxiv.org/abs/cond-mat/9701014v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, to appear in the special issue "Mathematical Methods in Condensed Matter Physics" of J.Math.Phys

Scientific paper

10.1063/1.531917

We use a theorem of Auslander and Kostant on the representation theory of
solvable Lie-groups for the study of some groups necessary for the description
of certain quasi-periodic systems of solid-state physics. We show that the
magnetic translation group is tame (Type I) if the magnetic field is not
constant but fluctuating.

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