Mathematics – Quantum Algebra
Scientific paper
2005-07-12
J.Math.Sci.151:2848-2858,2008
Mathematics
Quantum Algebra
17 pages
Scientific paper
10.1007/s10958-008-9005-7
The general rational solution of the Yang-Baxter equation with the symmetry algebra sl(2) can be represented as the product of the simpler building blocks denoted as R-operators. The R-operators are constructed explicitly and have simple structure. Using the R-operators we construct the two-parametric Baxter's Q-operator for the generic inhomogeneous periodic XXX spin chain. In the case of homogeneous XXX spin chain it is possible to reduce the general Q-operator to the much simpler one-parametric operator.
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