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arxiv: 1304.5901 · v2 · pith:XSGJCLYKnew · submitted 2013-04-22 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP· nlin.SI

Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains

classification ✦ hep-th cond-mat.stat-mechmath-phmath.MPnlin.SI
keywords spintransmissionchainsmatricesquantumalgebra-amplitudesansatz
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The gl(N) and U_q(gl(N)) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the corresponding transmission matrices -representations of the underlying quadratic algebra- that physically describe the interaction between the various particle-like excitations displayed by these models and the spin impurity.

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