dorsal/arxiv
View SchemaIntegrable Quantum Mappings
| Authors | H. W. Capel, F. W. Nijhoff |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9409001 |
| URL | https://arxiv.org/abs/solv-int/9409001 |
Abstract
We discuss the canonical structure of a class of integrable quantum mappings, i.e. iterative canonical transformations that can be interpreted as a discrete dynamical system. As particular examples we consider quantum mappings associated with the lattice analogues of the KdV and MKdV equations. These mappings possess a non-ultralocal quantum Yang-Baxter structure leading to the existence of commuting families of exact quantum invariants. We derive the associated quantum Miura transformations between these mappings and the corresponding quantum bi-Hamiltonian structure.
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"abstract": "We discuss the canonical structure of a class of integrable quantum mappings,\ni.e. iterative canonical transformations that can be interpreted as a discrete\ndynamical system. As particular examples we consider quantum mappings\nassociated with the lattice analogues of the KdV and MKdV equations. These\nmappings possess a non-ultralocal quantum Yang-Baxter structure leading to the\nexistence of commuting families of exact quantum invariants. We derive the\nassociated quantum Miura transformations between these mappings and the\ncorresponding quantum bi-Hamiltonian structure.",
"arxiv_id": "solv-int/9409001",
"authors": [
"H. W. Capel",
"F. W. Nijhoff"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Integrable Quantum Mappings",
"url": "https://arxiv.org/abs/solv-int/9409001"
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