2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54035We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $δ$ and $δ'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.7 pages, Latex, CPP-94-28High Energy Physics - Theorytext