Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 166

Quantum discrete Sine-Gordon Model at roots of 1: Integrable quantum system on the integrable classical background

V. Bazhanov, A. Bobenko, N. Reshetikhin

Comm. Math. Phys. 175 (1996) 377-400

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.

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