How to find the Lax pair from the Yang-Baxter equation (Q1180366)
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scientific article; zbMATH DE number 25676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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