Quasi-exactly Solvable Extended Calogero Model

We study a multispecies Calogero model on the line for 2 N  and 3 N . Here, we perform a gauge transformation on the Calogero Hamiltonian Hwhich leads to the new operator H ~ called the gauge one. We establish the some vector spaces of polynomials preserved by the gauge Hamiltonian in the cases of…
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July 27, 2020 0