Correlation functions of the asymmetric \(XXZ\) chain and the Painlevé V equation (Q2718298)
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scientific article; zbMATH DE number 1606443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Correlation functions of the asymmetric \(XXZ\) chain and the Painlevé V equation |
scientific article; zbMATH DE number 1606443 |
Statements
13 August 2001
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correlation functions
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\(\tau\)-function
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Painlevé V equation
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asymmetric \(XXZ\) chain
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thermodynamic limit
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Fredholm's determinants
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Correlation functions of the asymmetric \(XXZ\) chain and the Painlevé V equation (English)
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Correlation functions of the asymmetric \(XXZ\) chain are studied in the framework of the algebraic Bethe ansatz. In the thermodynamic limit they are expressed by Fredholm's determinants. Based on the \(\tau\)-function of the Painlevé V equation those asymptotic expressions are explicitly calculated.
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