2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50137Following the recent paper by J. F. van Diejen and H. Puschmann we investigate the behavior of zeros of the finite-gap solutions to the Schrodinger equation. As a result, a new system of particles on a punctured Riemann surface is constructed. It is shown to be Hamiltonian and integrable.12 pages, LaTeXHigh Energy Physics - Theorytext