Q-power function over Q-commuting variables and deformed XXX, XXZ chains

Details Q-power function over Q-commuting variables and deformed XXX, XXZ chains Q-power function over Q-commuting variables and deformed XXX, XXZ chains

2000-12-20

arxiv.org/abs/math/0012207v1

Mathematics

Quantum Algebra

LaTeX, 12 pages

Scientific paper

10.1134/1.1432921

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 U_q (\hat{sl}_2) and of the Yangian Y(sl_2). 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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