Integrability, intertwiners and non-linear algebras in Calogero models
High Energy Physics - Theory
2023-01-11 v1 Mathematical Physics
math.MP
Abstract
For the rational quantum Calogero systems of type , and , 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. Formulae for the energy eigenstates are used to tabulate the low-level wave functions.
Cite
@article{arxiv.2101.07274,
title = {Integrability, intertwiners and non-linear algebras in Calogero models},
author = {Francisca Carrillo-Morales and Francisco Correa and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:2101.07274},
year = {2023}
}
Comments
16 pages