Publications at the Riemann Center

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.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
External Organisation(s)
Universidad Austral de Chile
Type
Article
Journal
Journal of high energy physics
Volume
2021
ISSN
1029-8479
Publication date
19.05.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.1007/JHEP05(2021)163 (Access: Open )