Quantization conditions for the periodic Toda chain: Inadequacy of Bethe ansatz methods

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dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/5137
dc.identifier.uri https://doi.org/10.15488/5093
dc.contributor.author Fowler, Michael
dc.contributor.author Frahm, Holger
dc.date.accessioned 2019-07-02T13:14:06Z
dc.date.available 2019-07-02T13:14:06Z
dc.date.issued 1989
dc.identifier.citation Fowler, M.; Frahm, H.: Quantization conditions for the periodic Toda chain: Inadequacy of Bethe-ansatz methods. In: Physical Review B 39 (1989), Nr. 16, S. 11800-1809. DOI: https://doi.org/10.1103/PhysRevB.39.11800
dc.description.abstract Gutzwiller has developed a scheme for determining the energy levels of a finite quantum Toda lattice. We present a numerical analysis using his method and calculate low-lying energy levels for some small lattices. We check the completeness of his quantization conditions in the harmonic (low-energy) and the semiclassical (high-energy) limits. Our main finding is that the Bethe-ansatz spectrum equations, known to be exact for an infinite Toda lattice in the classical limit, are incorrect for finite and quantum lattices. eng
dc.language.iso eng
dc.publisher College Park (Maryland) : American Physical Society
dc.relation.ispartofseries Physical Review B
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject low-lying energy levels eng
dc.subject.ddc 530 | Physik ger
dc.title Quantization conditions for the periodic Toda chain: Inadequacy of Bethe ansatz methods
dc.type article
dc.type Text
dc.relation.issn 0163-1829
dc.relation.issn 0556-2805
dc.relation.issn 1098-0121
dc.relation.issn 2469-9950
dc.relation.doi https://doi.org/10.1103/PhysRevB.39.11800
dc.bibliographicCitation.issue 16
dc.bibliographicCitation.volume 39
dc.bibliographicCitation.firstPage 11800
dc.bibliographicCitation.lastPage 11809
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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