Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 191 |
| Fachzeitschrift | Journal of high energy physics |
| Jahrgang | 2015 |
| Ausgabenummer | 10 |
| Publikationsstatus | Veröffentlicht - 1 Okt. 2015 |
Abstract
Abstract: The spherical reduction of the rational Calogero model (of type An−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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Journal of high energy physics, Jahrgang 2015, Nr. 10, 191, 01.10.2015.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The tetrahexahedric angular Calogero model
AU - Correa, Francisco
AU - Lechtenfeld, Olaf
N1 - Publisher Copyright: © 2015, The Author(s). Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/10/1
Y1 - 2015/10/1
N2 - Abstract: The spherical reduction of the rational Calogero model (of type An−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.
AB - Abstract: The spherical reduction of the rational Calogero model (of type An−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.
KW - Conformal and W Symmetry
KW - Discrete and Finite Symmetries
KW - Integrable Field Theories
KW - Integrable Hierarchies
UR - http://www.scopus.com/inward/record.url?scp=84945929170&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2015)191
DO - 10.1007/JHEP10(2015)191
M3 - Article
AN - SCOPUS:84945929170
VL - 2015
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 10
M1 - 191
ER -