Integrability, intertwiners and non-linear algebras in Calogero models
Abstract
For the rational quantum Calogero systems of type A1A2, 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. Formulae for the energy eigenstates are used to tabulate the low-level wave functions.
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