dc.identifier.uri |
http://dx.doi.org/10.15488/353 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/376 |
|
dc.contributor.author |
Correa, Francisco
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.date.accessioned |
2016-07-12T08:54:20Z |
|
dc.date.available |
2016-07-12T08:54:20Z |
|
dc.date.issued |
2015 |
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dc.identifier.citation |
Correa, Francisco; Lechtenfeld, Olaf: The tetrahexahedric angular Calogero model. In: Journal of High Energy Physics 2015 (2015), Nr. 10, S. 1-29. DOI: http://dx.doi.org/10.1007/JHEP10(2015)191 |
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dc.description.abstract |
The spherical reduction of the rational Calogero model (of type A n−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively. |
eng |
dc.description.sponsorship |
Alexander von Humboldt Foundation/CHL 1153844 STP |
|
dc.description.sponsorship |
DFG/LE 838/12-1 |
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dc.language.iso |
eng |
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dc.publisher |
New York : Springer |
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dc.relation.ispartofseries |
Journal of High Energy Physics 2015 (2015), Nr. 10 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
http://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Integrable Field Theories |
eng |
dc.subject |
Conformal and WSymmetryM |
eng |
dc.subject |
Discrete and Finite Symmetries |
eng |
dc.subject |
Integrable Hierarchies |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
The tetrahexahedric angular Calogero model |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1029-8479 |
|
dc.relation.issn |
1126-6708 |
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dc.relation.doi |
http://dx.doi.org/10.1007/JHEP10(2015)191 |
|
dc.bibliographicCitation.issue |
10 |
|
dc.bibliographicCitation.volume |
2015 |
|
dc.bibliographicCitation.firstPage |
1 |
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dc.bibliographicCitation.lastPage |
29 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|