2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94279We apply the quantum Lax-Phillips scattering theory to a relativistically covariant quantum field theoretical form of the (soluble) Lee model. We construct the translation representations with the help of the wave operators, and show that the resulting Lax-Phillips $S$-matrix is an inner function (the Lax-Phillips theory is essentially a theory of translation invariant subspaces). We then discuss the non-relativistic limit of this theory, and show that the resulting kinematic relations coincide with the conditions required for the Galilean description of a decaying system.Tex, 15 pages, report TAUP 2588-99. Proceedings of Solvay Conference Les Treilles 3-8 July, 1999. To be published in Chaos, Solitons and FractalsQuantum Physicstext