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Paper detail

Integrability, intertwiners and non-linear algebras in Calogero models

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.

preprint2021arXivOpen access
Francisca Carrillo-MoralesFrancisco CorreaOlaf Lechtenfeld
math-phmath.MPhep-th
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Francisca Carrillo-MoralesFrancisco CorreaOlaf Lechtenfeld

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