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How to find the Lax pair from the Yang-Baxter equation - MaRDI portal

How to find the Lax pair from the Yang-Baxter equation (Q1180366)

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scientific article; zbMATH DE number 25676
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How to find the Lax pair from the Yang-Baxter equation
scientific article; zbMATH DE number 25676

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    How to find the Lax pair from the Yang-Baxter equation (English)
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    27 June 1992
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    The authors give a brief description of the Yang-Baxter equations which play an important role in the theory of classical and quantum integrable systems. For a more fruitful application of the theory to the quantum case, a procedure for constructing the quantum Lax pair from the Yang- Baxter equations is required. By using an infinitesimal version of the Yang-Baxter equations, the authors describe an explicit procedure for constructing a quantum Lax pair. They illustrate their results by applying their procedure to study in some detail the Heisenberg XYZ model.
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    Lax pair
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    Yang-Baxter equation
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    integrable models
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