Integrability, intertwiners and non-linear algebras in Calogero models

Francisca Carrillo-Morales, Francisco Correa, Olaf Lechtenfeld

For the rational quantum Calogero systems of type $A_1\oplus A_2$, $A{D}_3$ and $B{C}_3$, we explicitly present complete sets of independent conserved charges and their nonlinear alge…