Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Bloch Electrons in a Magnetic Field

Details Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Bloch Electrons in a Magnetic Field Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Bloch Electrons in a Magnetic Field

1993-10-07

arxiv.org/abs/cond-mat/9310017v2

Physics

Condensed Matter

9 pages, Revtex

Scientific paper

10.1142/S0217984994000315

We present a new approach to the problem of Bloch electrons in magnetic
field,\\ by making explicit a natural relation between magnetic translations
and the\\quantum group $U_{q}(sl_2)$. The approach allows to express the
spectrum and\\\ the Bloch function as solutions of the Bethe-Ansatz equations
typical for com\\pletely integrable quantum systems

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