Topology of countable subgroups of the Heisenberg-Weyl group

M.H. Boon and P.J. McCarthy

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 424-427

Abstract: Countable subgroups of the Heisenberg-Weyl group occur as invariance groups of a Bloch electron in a magnetic field and are well known to have an unusual algebraic structure. The topology they inherit naturally from the Heisenberg-Weyl group is strikingly different from the discrete topology hitherto assumed for them. It leads to a finer topological classification of the groups, and to a large reduction in the number of continuous representations.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:424-427

DOI: 10.1016/0378-4371(82)90325-9

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