Details
| Original language | English |
|---|---|
| Article number | 012007 |
| Journal | Journal of Physics: Conference Series |
| Volume | 2038 |
| Issue number | 1 |
| Publication status | Published - 25 Oct 2021 |
| Event | Virtual Seminar Series on Pseudo-Hermitian Hamiltonians in Quantum Physics, PTSeminar 2020: PTSeminar 2020 - London, Virtual, United Kingdom (UK) Duration: 5 Mar 2021 → 5 Mar 2021 |
Abstract
We review some recents developments of the algebraic structures and spectral properties of non-Hermitian deformations of Calogero models. The behavior of such extensions is illustrated by the A2 trigonometric and the D3 angular Calogero models. Features like intertwining operators and conserved charges are discussed in terms of Dunkl operators. Hidden symmetries coming from the so-called algebraic integrability for integral values of the coupling are addressed together with a physical regularization of their action on the states by virtue of a PT -symmetry deformation.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics: Conference Series, Vol. 2038, No. 1, 012007, 25.10.2021.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Algebraic integrability of PT -deformed Calogero models
AU - Correa, Francisco
AU - Lechtenfeld, Olaf
N1 - Funding Information: FC was partially supported by Fondecyt grant 1211356. OL has been supported by the Deutsche Forschungsgemeinschaft under grant LE 838/12 and by the COST Action MP1405 QSPACE.
PY - 2021/10/25
Y1 - 2021/10/25
N2 - We review some recents developments of the algebraic structures and spectral properties of non-Hermitian deformations of Calogero models. The behavior of such extensions is illustrated by the A2 trigonometric and the D3 angular Calogero models. Features like intertwining operators and conserved charges are discussed in terms of Dunkl operators. Hidden symmetries coming from the so-called algebraic integrability for integral values of the coupling are addressed together with a physical regularization of their action on the states by virtue of a PT -symmetry deformation.
AB - We review some recents developments of the algebraic structures and spectral properties of non-Hermitian deformations of Calogero models. The behavior of such extensions is illustrated by the A2 trigonometric and the D3 angular Calogero models. Features like intertwining operators and conserved charges are discussed in terms of Dunkl operators. Hidden symmetries coming from the so-called algebraic integrability for integral values of the coupling are addressed together with a physical regularization of their action on the states by virtue of a PT -symmetry deformation.
UR - http://www.scopus.com/inward/record.url?scp=85119276797&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2038/1/012007
DO - 10.1088/1742-6596/2038/1/012007
M3 - Conference article
AN - SCOPUS:85119276797
VL - 2038
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012007
T2 - Virtual Seminar Series on Pseudo-Hermitian Hamiltonians in Quantum Physics, PTSeminar 2020
Y2 - 5 March 2021 through 5 March 2021
ER -