2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112201We report the existence of confined massless fermion states in a graphene quantum well (QW) by means of analytical and numerical calculations. These states show an unusual quasi-linear dependence on the momentum parallel to the QW: their number depends on the wavevector and is constrained by electron-hole conversion in the barrier regions. An essential difference with non-relativistic electron states is a mixing between free and confined states at the edges of the free-particle continua, demonstrated by the direction-dependent resonant transmission across a potential well.Submitted to PRBMaterials ScienceConfined states and direction-dependent transmission in graphene quantum wellstext