2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154943We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a ``quantum polymer'', reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles.11 pages, 2 figuresMesoscale and Nanoscale Physicstext