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arXiv · 2101.07274

Integrability, intertwiners and non-linear algebras in Calogero models

Francisca Carrillo-Morales·Francisco Correa·Olaf Lechtenfeld
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Abstract

For the rational quantum Calogero systems of type $A_1{\oplus}A_2$, $AD_3$ and $BC_3$, 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.

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Francisca Carrillo-Morales, Francisco Correa, Olaf Lechtenfeld. 2021-01-18. Integrability, intertwiners and non-linear algebras in Calogero models. https://doi.org/10.1007/jhep05(2021)163

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