2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52129Ruijsenaars-Schneider models associated with $A_{n-1}$ root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are givein in terms of the Bethe ansatz formulas. Taking the "non-relativistic" limit, we obtain the spectrum of the corresponding Calogero-Moser systems in the third formulas of Felder et al [20].Latex file, 25 pagesHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext