2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220676We prove a concentration result of a Bloch eigenstate in a periodic channel under a constant gauge. In the semi-classical limit $h--> 0$ these eigenstates concentrate near a maximizer of the scalar potential of the associated Schrodinger operator, provided the constant gauge converges to a critical value from above. This is in contrast with the ground states which concentrate for any gauge in this limit near a minimizer of the scalar potential.7 pagesMathematical Physics35B10, 35B25, 47A10text