dorsal/arxiv
View SchemaOn the equivalence of the discrete nonlinear Schr\"odinger equation and the discrete isotropic Heisenberg magnet
| Authors | Tim Hoffmann |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9907002 |
| URL | https://arxiv.org/abs/solv-int/9907002 |
| DOI | 10.1016/S0375-9601(99)00860-9 |
Abstract
The equivalence of the discrete isotropic Heisenberg magnet (IHM) model and the discrete nonlinear Schr\"odinger equation (NLSE) given by Ablowitz and Ladik is shown. This is used to derive the equivalence of their discretization with the one by Izergin and Korepin. Moreover a doubly discrete IHM is presented that is equivalent to Ablowitz' and Ladiks doubly discrete NLSE.
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"abstract": "The equivalence of the discrete isotropic Heisenberg magnet (IHM) model and\nthe discrete nonlinear Schr\\\"odinger equation (NLSE) given by Ablowitz and\nLadik is shown. This is used to derive the equivalence of their discretization\nwith the one by Izergin and Korepin. Moreover a doubly discrete IHM is\npresented that is equivalent to Ablowitz\u0027 and Ladiks doubly discrete NLSE.",
"arxiv_id": "solv-int/9907002",
"authors": [
"Tim Hoffmann"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(99)00860-9",
"title": "On the equivalence of the discrete nonlinear Schr\\\"odinger equation and the discrete isotropic Heisenberg magnet",
"url": "https://arxiv.org/abs/solv-int/9907002"
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