Iterative construction of eigenfunctions of the monodromy matrix for \(\mathrm{SL}(2,\mathbb {C})\) magnet (Q2876347)
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scientific article; zbMATH DE number 6331268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative construction of eigenfunctions of the monodromy matrix for \(\mathrm{SL}(2,\mathbb {C})\) magnet |
scientific article; zbMATH DE number 6331268 |
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18 August 2014
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separation of variables
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spin chains
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Baxter's operators
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0.9030298
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0.8742285
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0.8615345
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0.85868126
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0.84862703
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0.8476376
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0.84360176
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Iterative construction of eigenfunctions of the monodromy matrix for \(\mathrm{SL}(2,\mathbb {C})\) magnet (English)
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The authors provide a regular recurrence procedure for constructing eigenfunctions for all entries of the monodromy matrix in the case of \(\mathrm{SL}(2,\mathbb C)\). The general framework is the quantum inverse scattering method (QISM). They first calculate the scalar products of the eigenfunctions and then they determine the Sklyamin measure. The paper ends with the construction of Baxter operators and Hamiltonians for the D-system.
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