The \(D_n\) Ruijsenaars-Schneider model (Q2766258)
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scientific article; zbMATH DE number 1695717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(D_n\) Ruijsenaars-Schneider model |
scientific article; zbMATH DE number 1695717 |
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27 January 2002
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Lax pair
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Ruijsenaars-Schneider model
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rational limit
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involutive Hamiltonians
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0.9185952
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0.89402664
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0.88587147
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0.88520724
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0.88344324
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0.8804629
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0.8786854
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0.8777022
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0.87246686
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The \(D_n\) Ruijsenaars-Schneider model (English)
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The authors present the Lax pair for the classical \(n\)-particle trigonometric \(D_n\) Ruijsenaars-Schneider model together with its rational limit. They give one explicit form of the Lax pair for small \(n\) such as 2, 3, 4 and show the involutive Hamiltonians could be generated by the corresponding Lax matrix. For generic \(n\) the authors construct the Lax pair and give a general form to it though lacking a complete proof.
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