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Two-body homogeneous rational Gaudin models and the missing label problem.

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Title: Two-body homogeneous rational Gaudin models and the missing label problem.
Authors: Campoamor-Stursberg, R.1 rutwig@ucm.es, Musso, F.2 musso@fis.uniroma3.it
Source: Journal of Physics A: Mathematical & Theoretical. 2013, Vol. 46 Issue 33, p1-13. 13p.
Subjects: Two-body problem (Physics), Hamilton's equations, Clebsch-Gordan coefficients, Degenerate perturbation theory, Lie algebras
Abstract: For the N = 2 rational Gaudin Hamiltonians based on sl(3), it is shown that the spectral invariants of the Lax matrix correspond to linear combinations of the labelling operators associated with the embedding of Lie algebras sl(3) ⊂ sl(3) ⊕ sl(3). The diagonalized spectral invariants are applied to the degeneracy separation in the Clebsch-Gordan series of sl(3). [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 90137225
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Two-body homogeneous rational Gaudin models and the missing label problem.
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  Data: <searchLink fieldCode="DE" term="%22Two-body+problem+%28Physics%29%22">Two-body problem (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hamilton's+equations%22">Hamilton's equations</searchLink><br /><searchLink fieldCode="DE" term="%22Clebsch-Gordan+coefficients%22">Clebsch-Gordan coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Degenerate+perturbation+theory%22">Degenerate perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink>
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  Data: For the N = 2 rational Gaudin Hamiltonians based on sl(3), it is shown that the spectral invariants of the Lax matrix correspond to linear combinations of the labelling operators associated with the embedding of Lie algebras sl(3) ⊂ sl(3) ⊕ sl(3). The diagonalized spectral invariants are applied to the degeneracy separation in the Clebsch-Gordan series of sl(3). [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1088/1751-8113/46/33/335201
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      – Code: eng
        Text: English
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      – SubjectFull: Two-body problem (Physics)
        Type: general
      – SubjectFull: Hamilton's equations
        Type: general
      – SubjectFull: Clebsch-Gordan coefficients
        Type: general
      – SubjectFull: Degenerate perturbation theory
        Type: general
      – SubjectFull: Lie algebras
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      – TitleFull: Two-body homogeneous rational Gaudin models and the missing label problem.
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              Text: 2013
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