2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29530We determine the quasi-particle excitation spectrum in the normal region of a narrow ballistic superconductor--normal-metal--superconductor (SNS) Josephson contact. Increasing the effective chemical potential in the contact converts the electronic levels into Andreev-levels carrying supercurrent. The opening of these superchannels leads to a supercurrent quantization which exhibits a non-universal behavior in general and we discuss its dependence on the junction parameters.4 pages, RevTeX, three postscript figuresMesoscale and Nanoscale Physicstext