2 problems

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The factorization conjecture for separated Calogero–Sutherland eigenfunctions
Let $N$ be the number of particles, let $\psi_{\vec n}(y)$ be the one-variable factor appearing in the separated eigenfunction, and let $\vec n=(n_1,\ldots,n_N)$ . Set $t=e^{2iy}$ .…
Conjectureopencalogero-sutherland jack-polynomials separation-of-variablesarXiv posted 2 days ago
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The separation-of-variables conjecture for the Calogero–Sutherland system
Let $N$ be the number of particles, let $\boldsymbol q=(q_1,\ldots,q_N)$ be the coordinates, and let $\Psi_{\vec n}(\boldsymbol q)$ be an eigenfunction of the commuting Calogero–Su…
Conjectureopencalogero-sutherland integrable-systems separation-of-variablesarXiv posted 2 days ago

The factorization conjecture for separated Calogero–Sutherland eigenfunctions