Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 125008 |
| Fachzeitschrift | Physical Review D |
| Jahrgang | 93 |
| Ausgabenummer | 12 |
| Publikationsstatus | Veröffentlicht - 7 Juni 2016 |
Abstract
We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Physik und Astronomie (sonstige)
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in: Physical Review D, Jahrgang 93, Nr. 12, 125008, 07.06.2016.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Spherical Calogero model with oscillator/Coulomb potential
T2 - Classical case
AU - Correa, Francisco
AU - Hakobyan, Tigran
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
N1 - Funding Information: T.H. and A.N. were partially supported by the Armenian State Committee of Science Grants No.15RF-039 and No.15T-1C367, and by Grant No.mathph-4220 of the Armenian National Science and Education Fund based in New York (ANSEF). The work of T.H. and A.N. was done within the ICTP programs NET68 and OEA-AC-100 and within the program of Regional Training Networks on Theoretical Physics by VolkswagenStiftung Contract No.86 260. The work of F.C. is supported by the Alexander von Humboldt Foundation under Grant No.CHL 1153844 STP. Publisher Copyright: © 2016 American Physical Society. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016/6/7
Y1 - 2016/6/7
N2 - We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.
AB - We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.
UR - http://www.scopus.com/inward/record.url?scp=84974621074&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.93.125008
DO - 10.1103/PhysRevD.93.125008
M3 - Article
AN - SCOPUS:84974621074
VL - 93
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 125008
ER -