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 |
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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 |
|