Commuting difference operators with elliptic coefficients from Baxter’s vacuum vectors
نویسنده
چکیده
For quantum integrable models with elliptic R-matrix, we construct the Baxter Q-operator in infinite-dimensional representations of the algebra of observables.
منابع مشابه
ar X iv : q - a lg / 9 51 20 29 v 1 2 5 D ec 1 99 5 Ruijsenaars ’ commuting difference operators as commuting transfer matrices ∗
For Belavin's elliptic quantum R-matrix, we construct an L-operator as a set of difference operators acting on functions on the type A weight space. According to the fundamental relation RLL = LLR, the trace of the L-operator gives a commuting difference operators. We show that for the above mentioned L-operator this approach gives Macdonald type operators with elliptic theta function coefficie...
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