Algebraic integrability of PT -deformed Calogero models

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

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OriginalspracheEnglisch
Aufsatznummer012007
FachzeitschriftJournal of Physics: Conference Series
Jahrgang2038
Ausgabenummer1
PublikationsstatusVeröffentlicht - 25 Okt. 2021
VeranstaltungVirtual Seminar Series on Pseudo-Hermitian Hamiltonians in Quantum Physics: PTSeminar 2020 - London, Virtual, Großbritannien / Vereinigtes Königreich
Dauer: 5 März 20215 März 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.

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Algebraic integrability of PT -deformed Calogero models. / Correa, Francisco; Lechtenfeld, Olaf.
in: Journal of Physics: Conference Series, Jahrgang 2038, Nr. 1, 012007, 25.10.2021.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Correa, F & Lechtenfeld, O 2021, 'Algebraic integrability of PT -deformed Calogero models', Journal of Physics: Conference Series, Jg. 2038, Nr. 1, 012007. https://doi.org/10.1088/1742-6596/2038/1/012007
Correa, F., & Lechtenfeld, O. (2021). Algebraic integrability of PT -deformed Calogero models. Journal of Physics: Conference Series, 2038(1), Artikel 012007. https://doi.org/10.1088/1742-6596/2038/1/012007
Correa F, Lechtenfeld O. Algebraic integrability of PT -deformed Calogero models. Journal of Physics: Conference Series. 2021 Okt 25;2038(1):012007. doi: 10.1088/1742-6596/2038/1/012007
Correa, Francisco ; Lechtenfeld, Olaf. / Algebraic integrability of PT -deformed Calogero models. in: Journal of Physics: Conference Series. 2021 ; Jahrgang 2038, Nr. 1.
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