2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28843We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are obtained from the evaluation of a finite number of continued fractions. We find that, contrary to the chaotic case, the conductance fluctuations increase with the incoming energy and the correlation function exhibits a singularity at the origin.9 pages + 3 figures, accepted for Eur. Phys. J. BMesoscale and Nanoscale Physicstext