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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© 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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