2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202946We investigate the geometrical features of one-dimensional wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. We find many interesting geometrical ingredients such as spinorlike behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases. We also propose an optical experiment to verify these effects.RevTeX, 16 pages, 6 postscript figuresQuantum Physicstext