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Spin chains from dynamical quadratic algebras

Zoltan Nagy, Jean Avan

math.QAarXiv:math/0501029

Abstract

We present a construction of integrable quantum spin chains where local spin-spin interactions are weighted by ``position''-dependent potential containing abelian non-local spin dependance. This construction applies to the previously defined three general quadratic reflection-type algebras: respectively non-dynamical, semidynamical, fully dynamical.

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