Bäcklund transformations and Baxter's \(Q\)-operator (Q2709060)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bäcklund transformations and Baxter's \(Q\)-operator |
scientific article |
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25 September 2001
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Bäcklund transformations and Baxter's \(Q\)-operator (English)
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This paper discribes the quantization of integrable systems, in particular the relationship under this quantization between the classical Bäcklund transformation and the \(Q\)-operator for quantum integrable systems. The paper is a survey and an overview, but gives a detailed application by doing the case of the Toda lattice step by step. I would consider this an excellent article for anyone interested in learning about quantization in the context of integrable systems. Several concepts are discussed including several versions of Baxter's equations and R-matrices.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00031].
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