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Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background
Authors:V. Bazhanov  A. Bobenko  N. Reshetikhin
Affiliation:(1) Mathematics and Theoretical Physics, IAS, Australian National University, 2601 Canberra, ACT, Australia;(2) Fachbereich Mathematik, Technische Universität Berlin, D-10623 Berlin, Germany;(3) Department of Mathematics, University of California, 94720 Berkeley, California, USA
Abstract:The quantum discrete sine-Gordon model at roots of 1 is studied. It is shown that this model provides an example of an integrable quantum system in an integrable classical background. In particular, the spectrum of quantum integrals of motions in this model depends only on the values of integrals of motion of a background classical system.Dedicated to L.D. Faddeev on his 60th birthday
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