2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21278We investigate the ground state properties of a two-dimensional electron gas in the lowest Landau level using the Density Matrix Renormalization Group. The electron gas is confined to a cylinder with a strong magnetic field perpendicular to the surface. For a thin cylinder, the ground state is for generic filling factors a charge density wave state, however, at $ν=1/2$ a homogeneous and apparently gapless ground state is found and particle and hole excitations are studied.5 pages, 4 figures. Minor changes. References addedMesoscale and Nanoscale Physicstext