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Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field

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Integrable Models and Strings

Part of the book series: Lecture Notes in Physics ((LNP,volume 436))

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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 U 9(sl 2). The approach allows to express the spectrum and the Bloch function as solutions of the Bethe-Ansatz equations typical for completely integrable quantum systems

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Author information

Authors and Affiliations

  1. James Frank Institute and Enrico Fermi Institute, University of Chicago, 5640 S.Ellis Ave., 60637, Chicago, Il

    P. B. Wiegmann

  2. Landau Institute for Theoretical Physics, USA

    P. B. Wiegmann

  3. Enrico Fermi Institute and Mathematical Disciplines Center, University of Chicago, 5640 S.Ellis Ave., 60637, Chicago, Il

    A. V. Zabrodin

  4. the Institute of Chemical Physics, Kosygina St. 4, SU-117334, Moscow, Russia

    A. V. Zabrodin

Authors
  1. P. B. Wiegmann
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  2. A. V. Zabrodin
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Editor information

Anton Alekseev Antero Hietamäki Katri Huitu Alexei Morozov Antti Niemi

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© 1994 Springer-Verlag

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Wiegmann, P.B., Zabrodin, A.V. (1994). Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field. In: Alekseev, A., Hietamäki, A., Huitu, K., Morozov, A., Niemi, A. (eds) Integrable Models and Strings. Lecture Notes in Physics, vol 436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58453-6_4

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  • DOI: https://doi.org/10.1007/3-540-58453-6_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58453-7

  • Online ISBN: 978-3-540-48810-1

  • eBook Packages: Springer Book Archive

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