2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53792We present the anyon equation on a cylinder and in an infinite potential wall from the abelian Chern-Simons theory coupled to non-relativistic matter field by obtaining the effective hamiltonian through the canonical transformation method used for the theory on a plane and on a torus. We also give the periodic property of the theory on the cylinder.20pages, REVTEXHigh Energy Physics - Theorytext