Coordinate Bethe Ansatz for Spin s XXX Model

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.

Bibliographic Details
Main Authors: Nicolas Crampé, Eric Ragoucy, Ludovic Alonzi
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.006
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spelling doaj-6d13a97287734f16a6fff007aa04fde32020-11-24T21:05:38ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-01-017006Coordinate Bethe Ansatz for Spin s XXX ModelNicolas CrampéEric RagoucyLudovic AlonziWe compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.http://dx.doi.org/10.3842/SIGMA.2011.006coordinate Bethe ansatzspin chains
collection DOAJ
language English
format Article
sources DOAJ
author Nicolas Crampé
Eric Ragoucy
Ludovic Alonzi
spellingShingle Nicolas Crampé
Eric Ragoucy
Ludovic Alonzi
Coordinate Bethe Ansatz for Spin s XXX Model
Symmetry, Integrability and Geometry: Methods and Applications
coordinate Bethe ansatz
spin chains
author_facet Nicolas Crampé
Eric Ragoucy
Ludovic Alonzi
author_sort Nicolas Crampé
title Coordinate Bethe Ansatz for Spin s XXX Model
title_short Coordinate Bethe Ansatz for Spin s XXX Model
title_full Coordinate Bethe Ansatz for Spin s XXX Model
title_fullStr Coordinate Bethe Ansatz for Spin s XXX Model
title_full_unstemmed Coordinate Bethe Ansatz for Spin s XXX Model
title_sort coordinate bethe ansatz for spin s xxx model
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-01-01
description We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.
topic coordinate Bethe ansatz
spin chains
url http://dx.doi.org/10.3842/SIGMA.2011.006
work_keys_str_mv AT nicolascrampe coordinatebetheansatzforspinsxxxmodel
AT ericragoucy coordinatebetheansatzforspinsxxxmodel
AT ludovicalonzi coordinatebetheansatzforspinsxxxmodel
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