2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15568We review the paper 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. Seligman (Phys. Rep. 285, 77-141 (1997)). This paper deals with the connection between the integrability of the scattering matrix $S$ and the integrability of the Hamiltonian $H$ for classical and quantum Hamiltonian systems.3 pages, Latex, to be published in Mathematical ReviewsChaotic Dynamicstext