Q-power function over Q-commuting variables and deformed XXX, XXZ chains
Abstract
We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum affine algebra Uq (sl2) and of the Yangian Y(sl2). We determine the corresponding deformed trigonometric and rational quantum R-matrices, which then are used in the computation of deformed XXX and XXZ Hamiltonians.
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