Details
| Original language | English |
|---|---|
| Article number | 012011 |
| Journal | Journal of Physics: Conference Series |
| Volume | 804 |
| Issue number | 1 |
| Publication status | Published - 4 Apr 2017 |
| Event | 24th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2016 - Prague, Czech Republic Duration: 14 Jun 2016 → 18 Jun 2016 |
Abstract
We investigate the spherical reduction of the rational An - 1 Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on S n-2 in a special Sn -symmetric potential. The energy levels (including degeneracy) and eigenstates are given, and the construction of conserved charges and Hamiltonian intertwiners outlined. We describe superintegrable complex PT deformations which remove the trapping walls and in some cases create a 2-graded ("supersymmetric") extension of the spectrum. Details are worked out for the cases of n=3 and n=4.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics: Conference Series, Vol. 804, No. 1, 012011, 04.04.2017.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - The tetrahexahedric angular Calogero model
AU - Correa, F.
AU - Lechtenfeld, O.
N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2017/4/4
Y1 - 2017/4/4
N2 - We investigate the spherical reduction of the rational An - 1 Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on S n-2 in a special Sn -symmetric potential. The energy levels (including degeneracy) and eigenstates are given, and the construction of conserved charges and Hamiltonian intertwiners outlined. We describe superintegrable complex PT deformations which remove the trapping walls and in some cases create a 2-graded ("supersymmetric") extension of the spectrum. Details are worked out for the cases of n=3 and n=4.
AB - We investigate the spherical reduction of the rational An - 1 Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on S n-2 in a special Sn -symmetric potential. The energy levels (including degeneracy) and eigenstates are given, and the construction of conserved charges and Hamiltonian intertwiners outlined. We describe superintegrable complex PT deformations which remove the trapping walls and in some cases create a 2-graded ("supersymmetric") extension of the spectrum. Details are worked out for the cases of n=3 and n=4.
UR - http://www.scopus.com/inward/record.url?scp=85017526590&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/804/1/012011
DO - 10.1088/1742-6596/804/1/012011
M3 - Conference article
AN - SCOPUS:85017526590
VL - 804
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012011
T2 - 24th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2016
Y2 - 14 June 2016 through 18 June 2016
ER -