2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94320We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $δ$ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called $ε$ potential. It will be also shown that the scattering properties at high energy substantially differ between non-relativistic and relativistic cases.LaTeX 4 Pages, Talk to be presented at The 1999 International Symposium on Nonlinear Theory and Its Applications (NOLTA99) Hilton Waikoloa Village, Hawaii, USA, Nov 28 - Dec 2, 1999Quantum Physicstext