English

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

Condensed Matter 2009-10-22 v2

Abstract

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 Uq(sl2)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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Cite

@article{arxiv.cond-mat/9310017,
  title  = {Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Bloch Electrons in a Magnetic Field},
  author = {P. B Wiegmann and A. V. Zabrodin},
  journal= {arXiv preprint arXiv:cond-mat/9310017},
  year   = {2009}
}

Comments

9 pages, Revtex