Integrability, intertwiners and non-linear algebras in Calogero models

authored by

Francisca Carrillo-Morales, Francisco Correa, Olaf Lechtenfeld

Abstract

For the rational quantum Calogero systems of type A₁⊕A₂, AD₃ and BC₃, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include the extra ‘odd’ charges appearing for integral couplings. Formulæ for the energy eigenstates are used to tabulate the low-level wave functions.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Universidad Austral de Chile

Type

Artikel

Journal

Journal of high energy physics

Volume

2021

ISSN

1029-8479

Publication date

19.05.2021

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1007/JHEP05(2021)163 (Access: Offen)